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Exploring the Riemann Zeta Function [[electronic resource] ] : 190 years from Riemann's Birth / / edited by Hugh Montgomery, Ashkan Nikeghbali, Michael Th. Rassias
Exploring the Riemann Zeta Function [[electronic resource] ] : 190 years from Riemann's Birth / / edited by Hugh Montgomery, Ashkan Nikeghbali, Michael Th. Rassias
Edizione [1st ed. 2017.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017
Descrizione fisica 1 online resource (X, 298 p. 7 illus., 5 illus. in color.)
Disciplina 512.7
Soggetto topico Number theory
Algebraic geometry
Functions of complex variables
Dynamics
Ergodic theory
Difference equations
Functional equations
Harmonic analysis
Number Theory
Algebraic Geometry
Functions of a Complex Variable
Dynamical Systems and Ergodic Theory
Difference and Functional Equations
Abstract Harmonic Analysis
ISBN 3-319-59969-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface (Dyson) -- 1. An introduction to Riemann's life, his mathematics, and his work on the zeta function (R. Baker) -- 2. Ramanujan's formula for zeta (2n+1) (B.C. Berndt, A. Straub) -- 3. Towards a fractal cohomology: Spectra of Polya-Hilbert operators, regularized determinants, and Riemann zeros (T. Cobler, M.L. Lapidus) -- The Temptation of the Exceptional Characters (J.B. Friedlander, H. Iwaniec) -- 4. The Temptation of the Exceptional Characters (J.B. Friedlander, H. Iwaniec) -- 5. Arthur's truncated Eisenstein series for SL(2,Z) and the Riemann Zeta Function, A Survey (D. Goldfield) -- 6. On a Cubic moment of Hardy's function with a shift (A. Ivic) -- 7. Some analogues of pair correlation of Zeta Zeros (Y. Karabulut, C.Y. Yıldırım) -- 8. Bagchi's Theorem for families of automorphic forms (E. Kowalski) -- 9. The Liouville function and the Riemann hypothesis (M.J. Mossinghoff, T.S. Trudgian) -- 10. Explorations in the theory of partition zeta functions (K. Ono, L. Rolen, R. Schneider) -- 11. Reading Riemann (S.J. Patterson) -- 12. A Taniyama product for the Riemann zeta function (D.E. Rohrlichłł).
Record Nr. UNINA-9910254305103321
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Extensions of Positive Definite Functions [[electronic resource] ] : Applications and Their Harmonic Analysis / / by Palle Jorgensen, Steen Pedersen, Feng Tian
Extensions of Positive Definite Functions [[electronic resource] ] : Applications and Their Harmonic Analysis / / by Palle Jorgensen, Steen Pedersen, Feng Tian
Autore Jorgensen Palle
Edizione [1st ed. 2016.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016
Descrizione fisica 1 online resource (XXVI, 231 p. 48 illus., 9 illus. in color.)
Disciplina 515.2433
Collana Lecture Notes in Mathematics
Soggetto topico Harmonic analysis
Topological groups
Lie groups
Fourier analysis
Functional analysis
Mathematical physics
Probabilities
Abstract Harmonic Analysis
Topological Groups, Lie Groups
Fourier Analysis
Functional Analysis
Mathematical Physics
Probability Theory and Stochastic Processes
ISBN 3-319-39780-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Intro -- Foreword -- Preface -- Acknowledgments -- Contents -- List of Figures -- List of Tables -- Symbols -- 1 Introduction -- 1.1 Two Extension Problems -- 1.1.1 Where to Find It -- 1.2 Quantum Physics -- 1.3 Stochastic Processes -- 1.3.1 Early Roots -- 1.3.2 An Application of Lemma 1.1: A Positive Definite Function on an Infinite Dimensional Vector Space -- 1.4 Overview of Applications of RKHSs -- 1.4.1 Connections to Gaussian Processes -- 1.5 Earlier Papers -- 1.6 Organization -- 2 Extensions of Continuous Positive Definite Functions -- 2.1 The RKHS HF -- 2.1.1 An Isometry -- 2.2 The Skew-Hermitian Operator D(F) in HF -- 2.2.1 The Case of Conjugations -- 2.2.2 Illustration: G=R, Correspondence Between the Two Extension Problems -- 2.3 Enlarging the Hilbert Space -- 2.4 Ext1(F) and Ext2(F) -- 2.4.1 The Case of n=1 -- 2.4.2 Comparison of p.d. Kernels -- 2.5 Spectral Theory of D(F) and Its Extensions -- 3 The Case of More General Groups -- 3.1 Locally Compact Abelian Groups -- 3.2 Lie Groups -- 3.2.1 The GNS Construction -- 3.2.2 Local Representations -- 3.2.3 The Convex Operation in Ext(F) -- 4 Examples -- 4.1 The Case of G=Rn -- 4.2 The Case of G=R/Z -- 4.3 Example: ei2πx -- 4.4 Example: e-|x| in (-a,a), Extensions to T=R/Z -- 4.4.1 General Consideration -- 4.5 Example: e-|x| in (-a,a), Extensions to R -- 4.6 Example: A Non-extendable p.d. Function in a Neighborhood of Zero in G=R2 -- 4.6.1 A Locally Defined p.d. Functions F on G=R2 with Ext(F)=. -- 5 Type I vs. Type II Extensions -- 5.1 Pólya Extensions -- 5.2 Main Theorems -- 5.2.1 Some Applications -- 5.3 The Deficiency-Indices of D(F) -- 5.3.1 Pólya-Extensions -- 5.4 The Example 5.3, Green's Function, and an HF-ONB -- 6 Spectral Theory for Mercer Operators, and Implications for Ext(F) -- 6.1 Groups, Boundary Representations, and Renormalization -- 6.2 Shannon Sampling, and Bessel Frames.
6.3 Application: The Case of F2 and Rank-1 Perturbations -- 6.4 Positive Definite Functions, Green's Functions, and Boundary -- 6.4.1 Connection to the Energy Form Hilbert Spaces -- 7 Green's Functions -- 7.1 The RKHSs for the Two Examples F2 and F3 in Table 5.1 -- 7.1.1 Green's Functions -- 7.1.1.1 Summary: Conclusions for the Two Examples -- 7.1.2 The Case of F2(x)=1-|x|, x(-12,12) -- 7.1.2.1 Pinned Brownian Motion -- 7.1.3 The Case of F3(x)=e-|x|, x(-1,1) -- 7.1.4 Integral Kernels and Positive Definite Functions -- 7.1.5 The Ornstein-Uhlenbeck Process Revisited -- 7.1.6 An Overview of the Two Cases: F2 and F3. -- 7.2 Higher Dimensions -- 8 Comparing the Different RKHSs HF and HK -- 8.1 Applications -- 8.2 Radially Symmetric Positive Definite Functions -- 8.3 Connecting F and F When F Is a Positive Definite Function -- 8.4 The Imaginary Part of a Positive Definite Function -- 8.4.1 Connections to, and Applications of, Bochner's Theorem -- 9 Convolution Products -- 10 Models for, and Spectral Representations of, OperatorExtensions -- 10.1 Model for Restrictions of Continuous p.d. Functions on R -- 10.2 A Model of ALL Deficiency Index-(1,1) Operators -- 10.2.1 Momentum Operators in L2(0,1) -- 10.2.2 Restriction Operators -- 10.3 The Case of Indices (d,d) Where d>1 -- 10.4 Spectral Representation of Index (1,1) Hermitian Operators -- 11 Overview and Open Questions -- 11.1 From Restriction Operator to Restriction of p.d. Function -- 11.2 The Splitting HF=HF(atom)HF(ac) HF(sing) -- 11.3 The Case of G=R1 -- 11.4 The Extreme Points of Ext(F) and { F} -- References -- Index.
Record Nr. UNINA-9910137138703321
Jorgensen Palle  
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Extensions of Positive Definite Functions [[electronic resource] ] : Applications and Their Harmonic Analysis / / by Palle Jorgensen, Steen Pedersen, Feng Tian
Extensions of Positive Definite Functions [[electronic resource] ] : Applications and Their Harmonic Analysis / / by Palle Jorgensen, Steen Pedersen, Feng Tian
Autore Jorgensen Palle
Edizione [1st ed. 2016.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016
Descrizione fisica 1 online resource (XXVI, 231 p. 48 illus., 9 illus. in color.)
Disciplina 515.2433
Collana Lecture Notes in Mathematics
Soggetto topico Harmonic analysis
Topological groups
Lie groups
Fourier analysis
Functional analysis
Mathematical physics
Probabilities
Abstract Harmonic Analysis
Topological Groups, Lie Groups
Fourier Analysis
Functional Analysis
Mathematical Physics
Probability Theory and Stochastic Processes
ISBN 3-319-39780-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Intro -- Foreword -- Preface -- Acknowledgments -- Contents -- List of Figures -- List of Tables -- Symbols -- 1 Introduction -- 1.1 Two Extension Problems -- 1.1.1 Where to Find It -- 1.2 Quantum Physics -- 1.3 Stochastic Processes -- 1.3.1 Early Roots -- 1.3.2 An Application of Lemma 1.1: A Positive Definite Function on an Infinite Dimensional Vector Space -- 1.4 Overview of Applications of RKHSs -- 1.4.1 Connections to Gaussian Processes -- 1.5 Earlier Papers -- 1.6 Organization -- 2 Extensions of Continuous Positive Definite Functions -- 2.1 The RKHS HF -- 2.1.1 An Isometry -- 2.2 The Skew-Hermitian Operator D(F) in HF -- 2.2.1 The Case of Conjugations -- 2.2.2 Illustration: G=R, Correspondence Between the Two Extension Problems -- 2.3 Enlarging the Hilbert Space -- 2.4 Ext1(F) and Ext2(F) -- 2.4.1 The Case of n=1 -- 2.4.2 Comparison of p.d. Kernels -- 2.5 Spectral Theory of D(F) and Its Extensions -- 3 The Case of More General Groups -- 3.1 Locally Compact Abelian Groups -- 3.2 Lie Groups -- 3.2.1 The GNS Construction -- 3.2.2 Local Representations -- 3.2.3 The Convex Operation in Ext(F) -- 4 Examples -- 4.1 The Case of G=Rn -- 4.2 The Case of G=R/Z -- 4.3 Example: ei2πx -- 4.4 Example: e-|x| in (-a,a), Extensions to T=R/Z -- 4.4.1 General Consideration -- 4.5 Example: e-|x| in (-a,a), Extensions to R -- 4.6 Example: A Non-extendable p.d. Function in a Neighborhood of Zero in G=R2 -- 4.6.1 A Locally Defined p.d. Functions F on G=R2 with Ext(F)=. -- 5 Type I vs. Type II Extensions -- 5.1 Pólya Extensions -- 5.2 Main Theorems -- 5.2.1 Some Applications -- 5.3 The Deficiency-Indices of D(F) -- 5.3.1 Pólya-Extensions -- 5.4 The Example 5.3, Green's Function, and an HF-ONB -- 6 Spectral Theory for Mercer Operators, and Implications for Ext(F) -- 6.1 Groups, Boundary Representations, and Renormalization -- 6.2 Shannon Sampling, and Bessel Frames.
6.3 Application: The Case of F2 and Rank-1 Perturbations -- 6.4 Positive Definite Functions, Green's Functions, and Boundary -- 6.4.1 Connection to the Energy Form Hilbert Spaces -- 7 Green's Functions -- 7.1 The RKHSs for the Two Examples F2 and F3 in Table 5.1 -- 7.1.1 Green's Functions -- 7.1.1.1 Summary: Conclusions for the Two Examples -- 7.1.2 The Case of F2(x)=1-|x|, x(-12,12) -- 7.1.2.1 Pinned Brownian Motion -- 7.1.3 The Case of F3(x)=e-|x|, x(-1,1) -- 7.1.4 Integral Kernels and Positive Definite Functions -- 7.1.5 The Ornstein-Uhlenbeck Process Revisited -- 7.1.6 An Overview of the Two Cases: F2 and F3. -- 7.2 Higher Dimensions -- 8 Comparing the Different RKHSs HF and HK -- 8.1 Applications -- 8.2 Radially Symmetric Positive Definite Functions -- 8.3 Connecting F and F When F Is a Positive Definite Function -- 8.4 The Imaginary Part of a Positive Definite Function -- 8.4.1 Connections to, and Applications of, Bochner's Theorem -- 9 Convolution Products -- 10 Models for, and Spectral Representations of, OperatorExtensions -- 10.1 Model for Restrictions of Continuous p.d. Functions on R -- 10.2 A Model of ALL Deficiency Index-(1,1) Operators -- 10.2.1 Momentum Operators in L2(0,1) -- 10.2.2 Restriction Operators -- 10.3 The Case of Indices (d,d) Where d>1 -- 10.4 Spectral Representation of Index (1,1) Hermitian Operators -- 11 Overview and Open Questions -- 11.1 From Restriction Operator to Restriction of p.d. Function -- 11.2 The Splitting HF=HF(atom)HF(ac) HF(sing) -- 11.3 The Case of G=R1 -- 11.4 The Extreme Points of Ext(F) and { F} -- References -- Index.
Record Nr. UNISA-996466771603316
Jorgensen Palle  
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
Extensions of Positive Definite Functions [e-book] : Applications and Their Harmonic Analysis / by Palle Jorgensen, Steen Pedersen, Feng Tian
Extensions of Positive Definite Functions [e-book] : Applications and Their Harmonic Analysis / by Palle Jorgensen, Steen Pedersen, Feng Tian
Autore Jorgensen, Palle
Pubbl/distr/stampa Cham : Springer International Publishing, 2016
Descrizione fisica 1 online resource
Disciplina 515.785
Altri autori (Persone) Pedersen, Steenauthor
Tian, Feng
Collana Lecture Notes in Mathematics, 0075-8434 ; 2160
Soggetto topico Topological groups
Lie groups
Harmonic analysis
Fourier analysis
Functional analysis
Probabilities
Mathematical physics
ISBN 9783319397801
Classificazione AMS 42-02
AMS 47-02
AMS 47B65
LC QA403-403
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-991003555109707536
Jorgensen, Palle  
Cham : Springer International Publishing, 2016
Materiale a stampa
Lo trovi qui: Univ. del Salento
Opac: Controlla la disponibilità qui
Extensions of positive-definite functions / / by John R. McMullen
Extensions of positive-definite functions / / by John R. McMullen
Autore McMullen John R.
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 1972
Descrizione fisica 1 online resource (79 p.)
Disciplina 515/.253
Collana Memoirs of the American Mathematical Society
Soggetto topico Locally compact groups
Positive-definite functions
Harmonic analysis
Soggetto genere / forma Electronic books.
ISBN 0-8218-9914-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""CONTENTS""; ""1. INTRODUCTION""; ""2. EXTENSION OF AN ALMOST PERIODIC POSITIVE-DEFINITE CONTINUOUS FUNCTION""; ""3. MISCELLANEOUS EXTENSION THEOREMS""; ""4. EXTENSION OF ELEMENTS OF THE FOURIER ALGEBRA""; ""5. EXTENSION FROM ABELIAN NORMAL SUBGROUPS""; ""BIBLIOGRAPHY""
Record Nr. UNINA-9910480712303321
McMullen John R.  
Providence, Rhode Island : , : American Mathematical Society, , 1972
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Extensions of positive-definite functions / / by John R. McMullen
Extensions of positive-definite functions / / by John R. McMullen
Autore McMullen John R.
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 1972
Descrizione fisica 1 online resource (79 p.)
Disciplina 515/.253
Collana Memoirs of the American Mathematical Society
Soggetto topico Locally compact groups
Positive-definite functions
Harmonic analysis
ISBN 0-8218-9914-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""CONTENTS""; ""1. INTRODUCTION""; ""2. EXTENSION OF AN ALMOST PERIODIC POSITIVE-DEFINITE CONTINUOUS FUNCTION""; ""3. MISCELLANEOUS EXTENSION THEOREMS""; ""4. EXTENSION OF ELEMENTS OF THE FOURIER ALGEBRA""; ""5. EXTENSION FROM ABELIAN NORMAL SUBGROUPS""; ""BIBLIOGRAPHY""
Record Nr. UNINA-9910788612903321
McMullen John R.  
Providence, Rhode Island : , : American Mathematical Society, , 1972
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Extensions of positive-definite functions / / by John R. McMullen
Extensions of positive-definite functions / / by John R. McMullen
Autore McMullen John R.
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 1972
Descrizione fisica 1 online resource (79 p.)
Disciplina 515/.253
Collana Memoirs of the American Mathematical Society
Soggetto topico Locally compact groups
Positive-definite functions
Harmonic analysis
ISBN 0-8218-9914-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""CONTENTS""; ""1. INTRODUCTION""; ""2. EXTENSION OF AN ALMOST PERIODIC POSITIVE-DEFINITE CONTINUOUS FUNCTION""; ""3. MISCELLANEOUS EXTENSION THEOREMS""; ""4. EXTENSION OF ELEMENTS OF THE FOURIER ALGEBRA""; ""5. EXTENSION FROM ABELIAN NORMAL SUBGROUPS""; ""BIBLIOGRAPHY""
Record Nr. UNINA-9910817271403321
McMullen John R.  
Providence, Rhode Island : , : American Mathematical Society, , 1972
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Families of Automorphic Forms and the Trace Formula [[electronic resource] /] / edited by Werner Müller, Sug Woo Shin, Nicolas Templier
Families of Automorphic Forms and the Trace Formula [[electronic resource] /] / edited by Werner Müller, Sug Woo Shin, Nicolas Templier
Edizione [1st ed. 2016.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016
Descrizione fisica 1 online resource (XII, 578 p. 19 illus.)
Disciplina 512.7
Collana Simons Symposia
Soggetto topico Topology
Harmonic analysis
Convex geometry 
Discrete geometry
Number theory
Abstract Harmonic Analysis
Convex and Discrete Geometry
Number Theory
ISBN 3-319-41424-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Germ expansions for real groups (J. Arthur) -- Slopes of modular forms (K. Buzzard, T. Gee) -- Transfer principles for bounds of motivic exponential functions (R. Cluckers, J. Gordon I. Halupczok) -- Growth of Hecke fields along a p-adic analytic family of modular forms (H. Hida) -- The trace formula and prehomogeneous vector spaces (W. Hoffmann) -- The local Langlands conjectures for non-quasi-split groups (T. Kaletha) -- Asymptotics and local constancy of characters of p-adic groups (J.-L. Kim, S.-W. Shin, N. Templier) -- Endoscopy and cohomology of a quasi-split U(4) (S. Marshall) -- Distribution of Hecke Eigenvalues for GL(n) (J. Matz) -- Zeta functions for the adjoint action of GL(n) and density of residues of Dedekind zeta functions (J. Matz) -- Some results in the theory of low-lying zeros of families of L-functions (B. Mackall, S. Miller, C. Rapti, C. Turnage-Butterbaugh, K. Winsor) -- Asymptotics of automorphic spectra and the trace formula (W. Müller) -- Families of L-functions and their symmetry (P. Sarnak, S.-W. Shin, N. Templier). .
Record Nr. UNINA-9910254095803321
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Finite elements II : Galerkin approximation, elliptic and mixed PDEs / / Alexandre Ern and Jean-Luc Guermond
Finite elements II : Galerkin approximation, elliptic and mixed PDEs / / Alexandre Ern and Jean-Luc Guermond
Autore Ern Alexandre <1967->
Pubbl/distr/stampa Cham, Switzerland : , : Springer, , [2021]
Descrizione fisica 1 online resource (491 pages)
Disciplina 515
Collana Texts in Applied Mathematics ;
Soggetto topico Calculus
Functional analysis
Functions
Harmonic analysis
Mathematical analysis
Mètode dels elements finits
Equacions en derivades parcials
Anàlisi funcional
Mètodes de Galerkin
Soggetto genere / forma Llibres electrònics
ISBN 3-030-56923-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISA-996466551503316
Ern Alexandre <1967->  
Cham, Switzerland : , : Springer, , [2021]
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
Finite elements II : Galerkin approximation, elliptic and mixed PDEs / / Alexandre Ern and Jean-Luc Guermond
Finite elements II : Galerkin approximation, elliptic and mixed PDEs / / Alexandre Ern and Jean-Luc Guermond
Autore Ern Alexandre <1967->
Pubbl/distr/stampa Cham, Switzerland : , : Springer, , [2021]
Descrizione fisica 1 online resource (491 pages)
Disciplina 515
Collana Texts in Applied Mathematics ;
Soggetto topico Calculus
Functional analysis
Functions
Harmonic analysis
Mathematical analysis
Mètode dels elements finits
Equacions en derivades parcials
Anàlisi funcional
Mètodes de Galerkin
Soggetto genere / forma Llibres electrònics
ISBN 3-030-56923-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910483944703321
Ern Alexandre <1967->  
Cham, Switzerland : , : Springer, , [2021]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui

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