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MARC Lista (tabellare)
Directional statistics for innovative applications : a bicentennial tribute to Florence Nightingale / / Ashis SenGupta and Barry C. Arnold
Directional statistics for innovative applications : a bicentennial tribute to Florence Nightingale / / Ashis SenGupta and Barry C. Arnold
Autore Sengupta Ashis
Pubbl/distr/stampa Singapore : , : Springer, , [2022]
Descrizione fisica 1 online resource (487 pages)
Disciplina 519.5
Collana Forum for Interdisciplinary Mathematics
Soggetto topico Mathematical statistics
Mathematical statistics - Asymptotic theory
Estadística matemàtica
Soggetto genere / forma Homenatges
Llibres electrònics
ISBN 981-19-1044-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISA-996479367303316
Sengupta Ashis  
Singapore : , : Springer, , [2022]
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
Directional statistics for innovative applications : a bicentennial tribute to Florence Nightingale / / Ashis SenGupta and Barry C. Arnold
Directional statistics for innovative applications : a bicentennial tribute to Florence Nightingale / / Ashis SenGupta and Barry C. Arnold
Autore Sengupta Ashis
Pubbl/distr/stampa Singapore : , : Springer, , [2022]
Descrizione fisica 1 online resource (487 pages)
Disciplina 519.5
Collana Forum for Interdisciplinary Mathematics
Soggetto topico Mathematical statistics
Mathematical statistics - Asymptotic theory
Estadística matemàtica
Soggetto genere / forma Homenatges
Llibres electrònics
ISBN 981-19-1044-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910578697503321
Sengupta Ashis  
Singapore : , : Springer, , [2022]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Dirichlet forms and related topics : in honor of Masatoshi Fukushima's Beiju, IWDFRT 2022, Osaka, Japan, August 22-26 / / Zhen-Qing Chen, Masayoshi Takeda, Toshihiro Uemura, editors
Dirichlet forms and related topics : in honor of Masatoshi Fukushima's Beiju, IWDFRT 2022, Osaka, Japan, August 22-26 / / Zhen-Qing Chen, Masayoshi Takeda, Toshihiro Uemura, editors
Pubbl/distr/stampa Singapore : , : Springer, , [2022]
Descrizione fisica 1 online resource (572 pages)
Disciplina 519.2
Collana Springer proceedings in mathematics & statistics
Soggetto topico Dirichlet forms
Formes (Matemàtica)
Probabilitats
Soggetto genere / forma Homenatges
Congressos
Llibres electrònics
ISBN 981-19-4672-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Intro -- Preface -- List of Masatoshi Fukushima's Publications -- Contents -- Markov Uniqueness and Fokker-Planck-Kolmogorov Equations -- 1 Introduction and Framework -- 2 The Main Idea and a Parabolic Condition for Uniqueness -- 3 Some Uniqueness Results for FPKEs -- 3.1 Fokker-Planck-Kolmogorov Equations -- 3.2 Nondegenerate VMO Diffusion Coefficients -- 3.3 Nondegenerate Locally Lipschitz Diffusion Coefficients -- 3.4 Nondegenerate Diffusion Coefficients and the Lyapunov Function Condition -- 3.5 Degenerate Diffusion Coefficients -- 4 Applications to the Markov Uniqueness Problem -- 4.1 The Framework -- 4.2 Nondegenerate VMO Diffusion Coefficients -- 4.3 Nondegenerate Locally Lipschitz Diffusion Coefficients -- 4.4 Nondegenerate Diffusion Coefficients and Lyapunov Function Conditions -- 4.5 Degenerate Diffusion Coefficients -- References -- A Chip-Firing and a Riemann-Roch Theorem on an Ultrametric Space -- 1 Introduction -- 2 Laplacian and Riemann-Roch Theorem on Ultrametric Space with Finite Vertices -- 3 Unification of Ultrametric Space with Finite Verteces -- 4 Riemann-Roch Theorem on Ultrametric Space with Countably Many Vertices -- References -- Hermitizable, Isospectral Matrices or Differential Operators -- 1 Hermitizable, Isospectral Matrices -- 2 Hermitizable, Isospectral Differential Operators -- References -- On Strongly Continuous Markovian Semigroups -- References -- Two-Sided Heat Kernel Estimates for Symmetric Diffusion Processes with Jumps: Recent Results -- 1 Introduction -- 2 Stability of Heat Kernel Estimates for Symmetric Diffusions with Jumps -- 2.1 Two-Sided Heat Kernel Estimates -- 2.2 Example -- 3 Symmetric Reflected Diffusions with Jumps in Inner Uniform Domains -- 3.1 Reflected Diffusions on Inner Uniform Domains -- 3.2 Reflected Diffusions with Jumps.
3.3 Heat Kernel Estimates for the beta Subscript asterisk Baseline less than or equals beta Superscript asterisk Baseline less than or equals normal infinityβ*leβ* leinfty in StartSet 0 Subscript plus Baseline EndSet union left parenthesis 0 comma normal infinity right bracket{0+}(0, infty] Case -- 3.4 Discussion on Off-Diagonal Heat Kernel Upper Bound -- 3.5 Example -- References -- On Non-negative Solutions to Space-Time Partial Differential Equations of Higher Order -- 1 Introduction -- 2 An Abstract Problem -- 3 Some Translation Invariant Pseudo-differential Operators -- 4 Some Discussions on the Case upper N equals 2N=2 -- 5 Higher Order Partial Differential Equations Admitting Non-negative Solutions -- References -- Monotonicity Properties of Regenerative Sets and Lorden's Inequality -- 1 Introduction -- 2 Lorden's Inequality -- 3 Monotone Potential Density -- 4 Concluding Remarks -- References -- Doob Decomposition, Dirichlet Processes, and Entropies on Wiener Space -- 1 Introduction -- 2 Doob Decomposition in Continuous Time -- 3 Entropies and Couplings on Wiener Space -- References -- Analysis on Fractal Spaces and Heat Kernels -- 1 Introduction -- 2 Classical Heat Kernel -- 3 Examples of Fractals -- 4 Dirichlet Forms -- 5 Walk Dimension -- 6 Besov Spaces and Characterization of betaβ -- 7 Dichotomy of Self-similar Heat Kernels -- 8 Estimating Heat Kernels: Strongly Local Case -- 9 Estimating Heat Kernels: Jump Case -- 10 Ultra-metric Spaces -- References -- Silverstein Extension and Fukushima Extension -- 1 Introduction -- 2 Silverstein Extensions -- 3 Fukushima Extensions -- 4 Examples of Fukushima Extensions -- 5 Fukushima Subspaces -- 6 Example: Revisit -- References -- Singularity of Energy Measures on a Class of Inhomogeneous Sierpinski Gaskets -- 1 Introduction -- 2 Framework and Statement of Theorems -- 3 Preliminary Lemmas.
4 Proof of the Main Results -- 5 Concluding Remarks -- References -- On upper L Superscript pLp Liouville Theorems for Dirichlet Forms -- 1 Introduction -- 2 Fukushima's Ergodic Theorem -- 3 Regular Dirichlet Forms and Harmonic Functions -- 3.1 Basic Notions and Intrinsic Metrics -- 3.2 Harmonic Functions -- 4 A Caccioppoli Inequality -- 5 Proof of Yau's and Karp's Theorem and Recurrence -- 5.1 Proof of Yau's and Karp's Theorem -- 5.2 Proof of the Growth Test for Recurrence -- References -- On Singularity of Energy Measures for Symmetric Diffusions with Full Off-Diagonal Heat Kernel Estimates II: Some Borderline Examples -- 1 Introduction -- 2 The Examples: Thin Scale Irregular Sierpiński Gaskets -- 3 Space-Time Scale Function upper Psi Subscript bold italic ll and fHKEfHKE left parenthesis upper Psi Subscript bold italic l Baseline right parenthesisfHKE(l) -- 4 Singularity of the Energy Measures -- 5 Realizing Arbitrarily Slow Decay Rates of upper Psi left parenthesis r right parenthesis divided by r squared(r)/r2 -- References -- Scattering Lengths for Additive Functionals and Their Semi-classical Asymptotics -- 1 Introduction -- 2 Scattering Length for Additive Functionals -- 3 Kac's Scattering Length Formula -- 4 Semi-classical Asymptotics for Scattering Length -- References -- Equivalence of the Strong Feller Properties of Analytic Semigroups and Associated Resolvents -- 1 Introduction -- 2 Preliminaries -- 3 Equivalence of the Strong Feller Properties -- 4 Application to Markov Processes Associated with Lower Bounded Semi-Dirichlet Forms -- References -- Interactions Between Trees and Loops, and Their Representation in Fock Space -- 1 Framework and Definitions -- 2 Interaction Between Tree and Loops -- 3 Fock Spaces -- 4 Local Interaction in Supersymmetric Fock Space -- References -- Remarks on Quasi-regular Dirichlet Subspaces.
1 Introduction -- 2 Quasi-regular Dirichlet Subspaces -- 3 Quasi-regular Dirichlet Subspaces of Concrete Dirichlet Forms -- 3.1 One-Dimensional Brownian Motion -- 3.2 Multi-dimensional Brownian Motion -- 4 Further Remarks -- References -- Power-Law Dynamic Arising from Machine Learning -- 1 Introduction -- 2 Background and Preliminaries on Power-Law Dynamic -- 2.1 Background in Machine Learning -- 2.2 Preliminaries on Power-Law Dynamic -- 3 Property of the Stationary Distribution -- 4 Existence and Uniqueness of the Stationary Distribution -- 5 First Exit Time: Asymptotic Order -- 6 First Exit Time: From Continuous to Discrete -- References -- Hölder Estimates for Resolvents of Time-Changed Brownian Motions -- 1 Introduction -- 2 Main Results -- 3 Preliminary Lemmas -- 4 Proof of Theorem 1 -- References -- On the Continuity of Half-Plane Capacity with Respect to Carathéodory Convergence -- 1 Introduction -- 2 Study on the Upper Half-Plane -- 2.1 Basic Definitions and Proof of Theorem1 -- 2.2 Strict Monotonicity -- 3 Study on Parallel Slit Half-Planes -- 3.1 BMD Half-Plane Capacity -- 3.2 Markov Chains Induced by BMD -- 3.3 Uniform Regularity of Slit Domains -- 4 Relation to Geometric Function Theory -- 4.1 Half-Plane Capacity and Angular Residue at Infinity -- 4.2 Carathéodory Convergence and Locally Uniform Convergence -- References -- Dyson's Model in Infinite Dimensions Is Irreducible -- 1 Introduction -- 2 The MathID170 m-Labeled Process and the Lyons-Zheng Decomposition -- 3 Proof of Theorems 2 and 3 -- 4 Proof of Theorem 1 -- References -- (Weak) Hardy and Poincaré Inequalities and Criticality Theory -- 1 Introduction -- 2 Preliminaries -- 2.1 Closed Quadratic Forms on upper L squared left parenthesis upper X comma mu right parenthesisL2(X,µ) and upper L Superscript 0 Baseline left parenthesis upper X comma mu right parenthesisL0(X,µ).
2.2 Extensions of Positivity Preserving Operators -- 3 The Beurling-Deny Criteria, Excessive Functions and Extended Forms -- 3.1 Basics and Excessive Functions -- 3.2 The Extensions q Subscript eqe and q Superscript plusq+ -- 3.3 Invariant Sets and Irreducibilty -- 4 (Very) Weak and Abstract Poincaré and Hardy inequalities -- 5 From Weak Hardy Inequalities to Hardy Inequalities-Subcriticality -- 6 Weak Poincaré Inequalities and Completeness of Extended form Domains -- References -- Maximal Displacement of Branching Symmetric Stable Processes -- 1 Introduction -- 2 Symmetric Stable Processes -- 2.1 Resolvent Asymptotics -- 2.2 Spectral Properties of Schrödinger Type Operators with the Fractional Laplacian -- 2.3 Asymptotic Behaviors of Feynman-Kac Functionals -- 3 Maximal Displacement of Branching Symmetric Stable Processes -- 3.1 Branching Symmetric Stable Processes -- 3.2 Weak Convergence and Tail Asymptotics -- 3.3 Examples -- 4 Proof of Theorem 17 -- References -- Random Riemannian Geometry in 4 Dimensions -- 1 Random Riemannian Geometries and Conformal Invariance -- 2 Paneitz Energy on 4-Dimensional Manifolds -- 3 Co-biharmonic Gaussian Field and Quantum Liouville Measure -- 3.1 Conformally Invariant Gaussian Field -- 3.2 Quantum Liouville Measure -- 4 Approximation by Random Fields and Liouville Measures on the Discrete 4-Torus -- 4.1 The Isotropic Haar System -- 4.2 The Semi-discrete Gaussian Field -- 4.3 The Semi-discrete Liouville Measure -- 4.4 Discrete Random Objects -- References -- Infinite Particle Systems with Hard-Core and Long-Range Interaction -- 1 Introduction -- 2 Preliminaries -- 2.1 Systems of Unlabeled Hard Balls -- 2.2 Systems of Labeled Balls -- 2.3 Skorohod Equation -- 3 Results -- 3.1 Existence of a Weak Solution -- 3.2 Statement of the Results -- 4 Proof of the Main Theorem -- 4.1 Finite Cluster Property.
4.2 On the Lipschitz Continuity of b Subscript bold italic upper X Superscript double struck upper IbXmathbbI.
Record Nr. UNISA-996490348503316
Singapore : , : Springer, , [2022]
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
Festschrift in honor of R. Dennis Cook : fifty years of contribution to statistical science / / Efstathia Bura, Bing Li, editors
Festschrift in honor of R. Dennis Cook : fifty years of contribution to statistical science / / Efstathia Bura, Bing Li, editors
Pubbl/distr/stampa Cham, Switzerland : , : Springer, , [2021]
Descrizione fisica 1 online resource (200 pages)
Disciplina 519.5
Soggetto topico Statistics
Mathematical statistics
Estadística matemàtica
Soggetto genere / forma Homenatges
Llibres electrònics
ISBN 3-030-69009-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Intro -- Foreword -- A Tribute to Professor R. Dennis Cook -- Contents -- Using Mutual Information to Measure the Predictive Powerof Principal Components -- 1 Introduction -- 2 Overview of Previous Results -- 3 Conditional Mutual Information -- 3.1 Under the Linear Model -- 3.2 Beyond the Linear Regression Model -- 3.3 Beyond the Normal Distribution -- 4 Discussion -- References -- A Robust Estimation Approach for Mean-Shiftand Variance-Inflation Outliers -- 1 Introduction -- 2 Our Proposal and Some Background -- 2.1 A Generalized Setting -- 2.2 Some Technical Background -- 2.3 Our Proposal -- 2.4 Graphical Diagnostics -- 3 Simulation Study -- 4 Real-Data Examples -- 5 Final Remarks -- References -- Estimating Sufficient Dimension Reduction Spaces by Invariant Linear Operators -- 1 Introduction -- 2 Invariant Linear Operators -- 3 Invariant Linear Operator and Its Eigenvectors -- 4 Some Important Members of T Y|X -- 4.1 Sliced Average Variance Estimation -- 4.2 SIR-II -- 4.3 Contour Regression -- 4.4 Directional Regression -- 5 Two Estimation Methods Based on Invariant Operators -- 5.1 Iterative Invariant Transformations (IIT) -- 5.2 Nonparametrically Boosted Inverse Regression (NBIR) -- 6 Numerical Study -- 7 Concluding Remarks -- References -- Testing Model Utility for Single Index Models Under High Dimension -- 1 Introduction -- 2 Generalized SNR for Single Index Models -- 2.1 Notation -- 2.2 A Brief Review of the Sliced Inverse Regression (SIR) -- 2.3 Generalized Signal-to-Noise Ratio of Single Index Models -- 2.4 Global Testing for Single Index Models -- 3 The Optimal Test for Single Index Models -- 3.1 The Detection Boundary of Linear Regression -- 3.2 Single Index Models -- 3.3 Optimal Test for SIMa -- 3.4 Computationally Efficient Test -- 3.5 Practical Issues -- 4 Numerical Studies -- 5 Discussion -- Appendix: Proofs -- Assisting Lemmas.
Proof of Theorems -- References -- Sliced Inverse Regression for Spatial Data -- 1 Introduction -- 2 SIR for iid Data -- 3 SIR for Time Series Data -- 4 SIR for Spatial Data -- 5 Performance Evaluation of SSIR -- 6 Discussion -- References -- Model-Based Inverse Regression and Its Applications -- 1 Introduction -- 1.1 Model-Based Inverse Reduction -- 1.2 Sufficient Reduction in Applications -- 2 Inverse Reduction for Multivariate Count Data -- 2.1 Multinomial Inverse Regression in Text Analysis -- 2.2 Predictive Learning in Metagenomics via Inverse Regression -- 2.3 Poisson Graphical Inverse Regression -- 3 Inverse Reduction and Its Dual -- 3.1 Reduction via Principal Coordinate Analysis -- 3.2 A Supervised Inverse Regression Model -- 4 Adaptive Independence Test via Inverse Regression -- 5 Cook's Contributions on Model-Based Sufficient Reduction -- References -- Sufficient Dimension Folding with Categorical Predictors -- 1 Introduction -- 2 Review on Sufficient Dimension Folding -- 3 Sufficient Dimension Folding with Categorical Predictors -- 4 Estimation Methods -- 4.1 Individual Direction Ensemble Method -- 4.2 Least Squares Folding Approach (LSFA) -- 4.3 Objective Function Optimization Method -- 5 Estimation of Structural Dimensions -- 6 Numerical Analysis -- 6.1 Simulation Studies -- 6.1.1 Part I (Continuous Y, Forward Model) -- 6.1.2 Part II (Discrete Y, Inverse Model) -- 6.2 Application -- 7 Discussion -- 8 Appendix -- 8.1 Proofs -- 8.2 Additional Simulation and Data Analysis -- Three Histograms for the Real Data -- The Bootstrap Confidence Interval Plots for Real Data -- References -- Sufficient Dimension Reduction Through Independenceand Conditional Mean Independence Measures -- 1 Introduction -- 2 Estimating SY|X Through α-Distance Covariance -- 2.1 α-Distance Covariance -- 2.2 Estimation of the Central Space.
3 Estimating SE(Y|X) Through α-Martingale Difference Divergence -- 3.1 α-Martingale Difference Divergence -- 3.2 Estimation of the Central Mean Space -- 4 Simulation Studies -- 4.1 Model Setup -- 4.2 Comparisons of Estimating the Central Space -- 4.3 Comparisons of Estimating the Central Mean Space -- 5 Analysis of the Iris Data -- 6 Conclusion -- Appendix -- References -- Cook's Fisher Lectureship Revisited for Semi-supervised DataReduction -- 1 Introduction -- 2 Dimension Reduction by Isotonic Models -- 2.1 Construction of Isotonic Model -- 2.2 Maximum Likelihood Estimation of Γ -- 3 Numerical Examples -- 4 Real Data Example -- 5 Discussion -- References.
Record Nr. UNISA-996466399803316
Cham, Switzerland : , : Springer, , [2021]
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
From Actors to Reforms in European Higher Education : A Festschrift for Pavel Zgaga / / edited by Manja Klemenčič
From Actors to Reforms in European Higher Education : A Festschrift for Pavel Zgaga / / edited by Manja Klemenčič
Edizione [1st ed. 2022.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022
Descrizione fisica 1 online resource (334 pages)
Disciplina 378
378.001
Collana Higher Education Dynamics
Soggetto topico Education, Higher
International education
Comparative education
Education - Philosophy
Educational sociology
Higher Education
International and Comparative Education
Philosophy of Education
Sociology of Education
Educació superior
Reforma de l'educació
Soggetto genere / forma Homenatges
Llibres electrònics
ISBN 9783031094002
9783031093999
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 1. Introduction: From actors to reforms in European higher education -- 2. Pavel Zgaga - actor in reforms of higher education -- Part I. Reforming European Higher Education -- Chapter 3. The silent treks of transformative thinkers and successful reformers in higher education: a European experience -- 4. The Myth of Power: Governing Reform in the Bologna Process of Higher Education -- 5. From the EHEA to the EEA: renewed state-making ambitions in the regional governance of education in Europe -- 6. Pavel Zgaga and Bologna actors: policymaking on the External Dimension and the Bologna Policy Forum, 2003-2009 -- 7. Cooperation in Higher Education Before and Beside the European Higher Education Area: Slovenia and Austria -- 8. Higher Education in two countries from ex-Yugoslav Federation: thirty years of constitutional embracement -- Part II. Global Challenges to Higher Education Reforms -- 9. Actors and Actorhood in Higher Education Regionalisms -- 10. Agents of global competition in the international student market -- 11. The Diffusion of Higher Education Reforms from the Global North. The case of Sub-Saharan Africa -- 12. Reforms in Quality Assurance: A Response to Recent Challenges in a Transforming Higher Education Sector -- 13. Higher Education in Europe in the Context of Global Developments -- Part III. Social Dimension in Higher Education and Democracy -- 14. Unpacking the Social Dimension of Universities -- 15. Tuition fees and university reforms -- 16. The democratic role and public responsibility of higher education and science -- 17. Education for democracy: balancing intellectual rigor and political action -- Part IV. Teachers and Teacher Education, Academics and Academic Profession -- 18. Teacher education as part of higher education: The mission and challenges -- 19. The transformative potential of doctoral networks in teacher education: A European perspective -- 20. Academics, Neo-Liberalism and English Higher Education: Decline and Fall -- 21. Global Vertical Stratification ofInstitutions and the Academic Profession: The Role of Research in Future High Participation Environments -- 22. Impact of internationalization strategies on academics' international research activities. Case study of the three HE peripheries: Slovenia, Croatia, and Lithuania -- Index.
Record Nr. UNINA-9910592980203321
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
From operator theory to orthogonal polynomials, combinatorics, and number theory : a volume in honor of Lance Littlejohn's 70th birthday / / Fritz Gesztesy, Andrei Martinez-Finkelshtein, editors
From operator theory to orthogonal polynomials, combinatorics, and number theory : a volume in honor of Lance Littlejohn's 70th birthday / / Fritz Gesztesy, Andrei Martinez-Finkelshtein, editors
Pubbl/distr/stampa Cham, Switzerland : , : Birkhäuser, , [2021]
Descrizione fisica 1 online resource (388 pages)
Disciplina 515.724
Collana Operator theory, advances and applications
Soggetto topico Operator theory
Spectral theory (Mathematics)
Teoria espectral (Matemàtica)
Teoria d'operadors
Soggetto genere / forma Homenatges
Llibres electrònics
ISBN 3-030-75425-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Intro -- Preface -- References -- Contents -- Compositions and Chebyshev Polynomials -- 1 Introduction -- 2 Proof of Theorem 1 -- 3 Proof of Theorem 2 -- 4 Proof of Theorem 3 -- 5 Proofs of Theorems 4 and Corollary 1 -- 6 Proof of Theorem 6 and Corollaries -- 7 Further Topics -- References -- Non-negative Extensions of Hamiltonian Systems -- 1 Introduction -- 2 Preliminaries -- 3 The Friedrichs Extension TF of T0 -- 4 Characterisation of Non-negative Extensions TB -- 5 Example: A Fourth Order ODE -- References -- On Simon's Hausdorff Dimension Conjecture -- 1 Introduction -- 2 A Weak Version of Simon's Hausdorff Dimension Conjecture -- 2.1 A Basic Estimate -- 2.2 Prüfer Variables -- 2.3 Unboundedness and Infinite Energy -- 2.4 Proof of Theorem 1.1 and Corollary 1.2 -- References -- Hypergeometric Functions over Finite Fields and Modular Forms: A Survey and New Conjectures -- 1 Introduction -- 2 Preliminaries -- 3 Weight Two Newforms -- 4 Higher Weight Newforms -- 4.1 The Conjectures of Rodriguez Villegas -- 4.2 Conjectures of Evans -- 4.3 Relations with Ramanujan's τ-Function -- 4.4 Other Relations -- 5 Trace Formulas for Hecke Operators -- 6 New Relations -- References -- Ballistic Transport for Periodic Jacobi Operators on Zd -- 1 Introduction -- 2 Decomposition of J -- 3 Ballistic Motion -- References -- Perspectives on General Left-Definite Theory -- 1 Introduction -- 1.1 Notation -- 2 Sturm-Liouville Operators -- 3 Left-Definite Theory -- 4 Comparison with BKV Semi-Bounded Form Theory -- 5 Scale of Spaces from Singular Perturbation Theory -- 6 Perturbation Setup -- Appendix: Extension Theory -- References -- Sampling in the Range of the Analysis Operator of a Continuous Frame Having Unitary Structure -- 1 Statement of the Problem -- 2 Some Preliminaries -- 2.1 Continuous and Discrete Frames.
2.2 Discrete Convolution Systems and Frames of Translates -- 3 The Subspace of L2(G) Where the Sampling Is Carried Out -- 3.1 Sampling Data as a Filtering Process -- 4 The Main Sampling Result and Consequences -- 4.1 Sampling at a Subgroup R with Finite Index in H -- 4.2 Additional Notes and Remarks -- 4.3 The Case of a Semi-Direct Product of Groups -- Euclidean Motion Group and Crystallographic Subgroups -- 4.4 Some Final Comments -- References -- An Extension of the Coherent Pair of Measures of the Second Kind on the Unit Circle -- 1 Introduction -- 2 Coherent Pairs of Measures of the Second Kind -- 2.1 The Case dμ1(z) = 12πi zdz -- 2.2 The Case dμ1(z)=1|z-u|212πi zdz, u≠0 -- 2.3 A General Case -- 3 Hessenberg Matrices -- 4 Sobolev OPUC -- References -- Bessel-Type Operators and a Refinement of Hardy's Inequality -- 1 Introduction -- 2 An Exactly Solvable, Strongly Singular, Periodic Schrödinger Operator -- 3 A Refinement of Hardy's Inequality -- A.1 The Weyl-Titchmarsh-Kodaira m-Function Associated with Ts,F -- B.1 Remarks on Hardy-Type Inequalities -- References -- Spectral Theory of Exceptional Hermite Polynomials -- 1 Introduction -- 2 Some Spectral Theory -- 3 The Formal Theory of Exceptional Hermite Polynomials -- 3.1 Multi-Step Factorization Chains -- 3.2 The Norm Identity -- 4 The L2 Theory -- References -- Occupation Time for Classical and Quantum Walks -- 1 Introduction -- 2 A Look at the Classical Discrete Case -- 3 Occupation Times for Quantum Walks -- 4 A Look at the Hadamard Walk -- 5 The Walk with a Constant Coin -- 6 The Even Verblunsky Coefficients Tend to One -- 7 A Look at the Riesz Walk -- References -- On Foci of Ellipses Inscribed in Cyclic Polygons -- 1 Introduction -- 2 Background and Notation -- 3 The Quadrilateral Case -- 4 The Hexagon Case -- 5 The Pentagon Case -- References -- A Differential Analogue of Favard's Theorem.
1 Introduction -- 2 The Main Theory -- 2.1 Fundamental Results -- 2.2 Relation to Existing Work -- 3 Examples -- 3.1 Jacobi -- 3.2 Hermite -- 3.3 Generalized Hermite -- 3.4 Laguerre -- 3.5 Generalized Laguerre -- 3.6 Continuous Hahn -- 4 Computational Considerations -- 4.1 Computation of Expansion Coefficients -- 4.2 Approximation Theory on the Real Line -- 5 Periodic Bases Arising from Discrete Orthogonal Polynomials -- 6 Challenges and Outlook -- 6.1 Transform Pairs -- 6.2 Location of Zeros -- 6.3 Sobolev Orthogonality -- 6.4 Beyond the Canonical Form -- 6.5 A Freudian Slip-Why We Need More Polynomials -- References -- Intrinsic Properties of Strongly Continuous Fractional Semigroups in Normed Vector Spaces -- 1 Introduction -- 2 Background -- 2.1 Logarithmic Norms on Banach Spaces -- 2.2 Logarithmic Norm Bounds of Classical Semigroups -- 3 Fractional Semigroups -- 3.1 Mittag-Leffler and Wright Functions -- 3.2 Logarithmic Norm Bounds of Fractional Semigroups -- 4 Conclusions and Future Endeavors -- References -- The BFK-gluing Formula for Zeta-determinants and the Conformal Rescaling of a Metric -- 1 Introduction -- 2 The Metric Rescaling and Invariance Theory -- 3 Proof of Theorem 1 -- 4 Conclusions -- References -- New Representations of the Laguerre-Sobolev and Jacobi-Sobolev Orthogonal Polynomials -- 1 Introduction -- 2 Two Representations of the Laguerre-Sobolev Polynomials -- 3 New Representations of the Jacobi-Sobolev Polynomials -- References -- Compactness, or Lack Thereof, for the Harmonic Double Layer -- 1 Compactness of the Harmonic Double Layer Operator on Lebesgue Spaces -- 2 Failure of Compactness for the Harmonic Double Layer Operator -- References -- Weighted Chebyshev Polynomials on Compact Subsets of the Complex Plane -- 1 Introduction -- 2 Existence, Uniqueness, and Characterization of Weighted Chebyshev Polynomials.
3 Bounds for Weighted Chebyshev Polynomials -- References -- The Eichler Integral of E2 and q-brackets of t-hook Functions -- 1 Introduction and Statement of Results -- 2 Nuts and Bolts -- 2.1 A Formula of Han -- 2.2 A Formula of Berndt -- 3 Proofs of Results -- 4 Some Examples -- References.
Record Nr. UNISA-996466561303316
Cham, Switzerland : , : Birkhäuser, , [2021]
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
From operator theory to orthogonal polynomials, combinatorics, and number theory : a volume in honor of Lance Littlejohn's 70th birthday / / Fritz Gesztesy, Andrei Martinez-Finkelshtein, editors
From operator theory to orthogonal polynomials, combinatorics, and number theory : a volume in honor of Lance Littlejohn's 70th birthday / / Fritz Gesztesy, Andrei Martinez-Finkelshtein, editors
Pubbl/distr/stampa Cham, Switzerland : , : Birkhäuser, , [2021]
Descrizione fisica 1 online resource (388 pages)
Disciplina 515.724
Collana Operator theory, advances and applications
Soggetto topico Operator theory
Spectral theory (Mathematics)
Teoria espectral (Matemàtica)
Teoria d'operadors
Soggetto genere / forma Homenatges
Llibres electrònics
ISBN 3-030-75425-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Intro -- Preface -- References -- Contents -- Compositions and Chebyshev Polynomials -- 1 Introduction -- 2 Proof of Theorem 1 -- 3 Proof of Theorem 2 -- 4 Proof of Theorem 3 -- 5 Proofs of Theorems 4 and Corollary 1 -- 6 Proof of Theorem 6 and Corollaries -- 7 Further Topics -- References -- Non-negative Extensions of Hamiltonian Systems -- 1 Introduction -- 2 Preliminaries -- 3 The Friedrichs Extension TF of T0 -- 4 Characterisation of Non-negative Extensions TB -- 5 Example: A Fourth Order ODE -- References -- On Simon's Hausdorff Dimension Conjecture -- 1 Introduction -- 2 A Weak Version of Simon's Hausdorff Dimension Conjecture -- 2.1 A Basic Estimate -- 2.2 Prüfer Variables -- 2.3 Unboundedness and Infinite Energy -- 2.4 Proof of Theorem 1.1 and Corollary 1.2 -- References -- Hypergeometric Functions over Finite Fields and Modular Forms: A Survey and New Conjectures -- 1 Introduction -- 2 Preliminaries -- 3 Weight Two Newforms -- 4 Higher Weight Newforms -- 4.1 The Conjectures of Rodriguez Villegas -- 4.2 Conjectures of Evans -- 4.3 Relations with Ramanujan's τ-Function -- 4.4 Other Relations -- 5 Trace Formulas for Hecke Operators -- 6 New Relations -- References -- Ballistic Transport for Periodic Jacobi Operators on Zd -- 1 Introduction -- 2 Decomposition of J -- 3 Ballistic Motion -- References -- Perspectives on General Left-Definite Theory -- 1 Introduction -- 1.1 Notation -- 2 Sturm-Liouville Operators -- 3 Left-Definite Theory -- 4 Comparison with BKV Semi-Bounded Form Theory -- 5 Scale of Spaces from Singular Perturbation Theory -- 6 Perturbation Setup -- Appendix: Extension Theory -- References -- Sampling in the Range of the Analysis Operator of a Continuous Frame Having Unitary Structure -- 1 Statement of the Problem -- 2 Some Preliminaries -- 2.1 Continuous and Discrete Frames.
2.2 Discrete Convolution Systems and Frames of Translates -- 3 The Subspace of L2(G) Where the Sampling Is Carried Out -- 3.1 Sampling Data as a Filtering Process -- 4 The Main Sampling Result and Consequences -- 4.1 Sampling at a Subgroup R with Finite Index in H -- 4.2 Additional Notes and Remarks -- 4.3 The Case of a Semi-Direct Product of Groups -- Euclidean Motion Group and Crystallographic Subgroups -- 4.4 Some Final Comments -- References -- An Extension of the Coherent Pair of Measures of the Second Kind on the Unit Circle -- 1 Introduction -- 2 Coherent Pairs of Measures of the Second Kind -- 2.1 The Case dμ1(z) = 12πi zdz -- 2.2 The Case dμ1(z)=1|z-u|212πi zdz, u≠0 -- 2.3 A General Case -- 3 Hessenberg Matrices -- 4 Sobolev OPUC -- References -- Bessel-Type Operators and a Refinement of Hardy's Inequality -- 1 Introduction -- 2 An Exactly Solvable, Strongly Singular, Periodic Schrödinger Operator -- 3 A Refinement of Hardy's Inequality -- A.1 The Weyl-Titchmarsh-Kodaira m-Function Associated with Ts,F -- B.1 Remarks on Hardy-Type Inequalities -- References -- Spectral Theory of Exceptional Hermite Polynomials -- 1 Introduction -- 2 Some Spectral Theory -- 3 The Formal Theory of Exceptional Hermite Polynomials -- 3.1 Multi-Step Factorization Chains -- 3.2 The Norm Identity -- 4 The L2 Theory -- References -- Occupation Time for Classical and Quantum Walks -- 1 Introduction -- 2 A Look at the Classical Discrete Case -- 3 Occupation Times for Quantum Walks -- 4 A Look at the Hadamard Walk -- 5 The Walk with a Constant Coin -- 6 The Even Verblunsky Coefficients Tend to One -- 7 A Look at the Riesz Walk -- References -- On Foci of Ellipses Inscribed in Cyclic Polygons -- 1 Introduction -- 2 Background and Notation -- 3 The Quadrilateral Case -- 4 The Hexagon Case -- 5 The Pentagon Case -- References -- A Differential Analogue of Favard's Theorem.
1 Introduction -- 2 The Main Theory -- 2.1 Fundamental Results -- 2.2 Relation to Existing Work -- 3 Examples -- 3.1 Jacobi -- 3.2 Hermite -- 3.3 Generalized Hermite -- 3.4 Laguerre -- 3.5 Generalized Laguerre -- 3.6 Continuous Hahn -- 4 Computational Considerations -- 4.1 Computation of Expansion Coefficients -- 4.2 Approximation Theory on the Real Line -- 5 Periodic Bases Arising from Discrete Orthogonal Polynomials -- 6 Challenges and Outlook -- 6.1 Transform Pairs -- 6.2 Location of Zeros -- 6.3 Sobolev Orthogonality -- 6.4 Beyond the Canonical Form -- 6.5 A Freudian Slip-Why We Need More Polynomials -- References -- Intrinsic Properties of Strongly Continuous Fractional Semigroups in Normed Vector Spaces -- 1 Introduction -- 2 Background -- 2.1 Logarithmic Norms on Banach Spaces -- 2.2 Logarithmic Norm Bounds of Classical Semigroups -- 3 Fractional Semigroups -- 3.1 Mittag-Leffler and Wright Functions -- 3.2 Logarithmic Norm Bounds of Fractional Semigroups -- 4 Conclusions and Future Endeavors -- References -- The BFK-gluing Formula for Zeta-determinants and the Conformal Rescaling of a Metric -- 1 Introduction -- 2 The Metric Rescaling and Invariance Theory -- 3 Proof of Theorem 1 -- 4 Conclusions -- References -- New Representations of the Laguerre-Sobolev and Jacobi-Sobolev Orthogonal Polynomials -- 1 Introduction -- 2 Two Representations of the Laguerre-Sobolev Polynomials -- 3 New Representations of the Jacobi-Sobolev Polynomials -- References -- Compactness, or Lack Thereof, for the Harmonic Double Layer -- 1 Compactness of the Harmonic Double Layer Operator on Lebesgue Spaces -- 2 Failure of Compactness for the Harmonic Double Layer Operator -- References -- Weighted Chebyshev Polynomials on Compact Subsets of the Complex Plane -- 1 Introduction -- 2 Existence, Uniqueness, and Characterization of Weighted Chebyshev Polynomials.
3 Bounds for Weighted Chebyshev Polynomials -- References -- The Eichler Integral of E2 and q-brackets of t-hook Functions -- 1 Introduction and Statement of Results -- 2 Nuts and Bolts -- 2.1 A Formula of Han -- 2.2 A Formula of Berndt -- 3 Proofs of Results -- 4 Some Examples -- References.
Record Nr. UNINA-9910508462503321
Cham, Switzerland : , : Birkhäuser, , [2021]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Interactions of quantum affine algebras with cluster algebras, current algebras and categorification : in honor of Vyjayanthi Chari on the occasion of her 60th birthday / / edited by Jacob Greenstein [and three others]
Interactions of quantum affine algebras with cluster algebras, current algebras and categorification : in honor of Vyjayanthi Chari on the occasion of her 60th birthday / / edited by Jacob Greenstein [and three others]
Pubbl/distr/stampa Cham, Switzerland : , : Springer, , [2022]
Descrizione fisica 1 online resource (453 pages)
Disciplina 512.2
Collana Progress in Mathematics
Soggetto topico Algebra, Homological
Affine algebraic groups
Varietats algebraiques
Categories (Matemàtica)
Soggetto genere / forma Homenatges
Llibres electrònics
ISBN 3-030-63849-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910552732103321
Cham, Switzerland : , : Springer, , [2022]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Interactions of quantum affine algebras with cluster algebras, current algebras and categorification : in honor of Vyjayanthi Chari on the occasion of her 60th birthday / / edited by Jacob Greenstein [and three others]
Interactions of quantum affine algebras with cluster algebras, current algebras and categorification : in honor of Vyjayanthi Chari on the occasion of her 60th birthday / / edited by Jacob Greenstein [and three others]
Pubbl/distr/stampa Cham, Switzerland : , : Springer, , [2022]
Descrizione fisica 1 online resource (453 pages)
Disciplina 512.2
Collana Progress in Mathematics
Soggetto topico Algebra, Homological
Affine algebraic groups
Varietats algebraiques
Categories (Matemàtica)
Soggetto genere / forma Homenatges
Llibres electrònics
ISBN 3-030-63849-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISA-996466567403316
Cham, Switzerland : , : Springer, , [2022]
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
A lifetime of excursions through random walks and Lévy processes : a volume in honour of Ron Doney's 80th birthday / / Loïc Chaumont and Andreas E. Kyprianou, editors
A lifetime of excursions through random walks and Lévy processes : a volume in honour of Ron Doney's 80th birthday / / Loïc Chaumont and Andreas E. Kyprianou, editors
Pubbl/distr/stampa Cham, Switzerland : , : Springer, , [2021]
Descrizione fisica 1 online resource (354 pages)
Disciplina 519.282
Collana Progress in Probability
Soggetto topico Random walks (Mathematics)
Rutes aleatòries (Matemàtica)
Processos de Lévy
Soggetto genere / forma Homenatges
Llibres electrònics
ISBN 3-030-83309-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISA-996466565203316
Cham, Switzerland : , : Springer, , [2021]
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui