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 | ||
|
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 | ||
|
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 | ||
|
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 | ||
|
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 | ||
|
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 | ||
|
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 | ||
|
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 | ||
|
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 | ||
|
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 | ||
|