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Automorphic Forms on Adele Groups. (AM-83), Volume 83 / / Stephen S. Gelbart
| Automorphic Forms on Adele Groups. (AM-83), Volume 83 / / Stephen S. Gelbart |
| Autore | Gelbart Stephen S. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (280 pages) |
| Disciplina | 512/.22 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Representations of groups
Automorphic forms Linear algebraic groups Adeles |
| Soggetto non controllato |
Abelian extension
Abelian group Absolute value Addition Additive group Algebraic group Algebraic number field Algebraic number theory Analytic continuation Analytic function Arbitrarily large Automorphic form Cartan subgroup Class field theory Complex space Congruence subgroup Conjugacy class Coprime integers Cusp form Differential equation Dimension (vector space) Direct integral Direct sum Division algebra Eigenfunction Eigenvalues and eigenvectors Eisenstein series Euler product Existential quantification Exponential function Factorization Finite field Formal power series Fourier series Fourier transform Fuchsian group Function (mathematics) Function space Functional equation Fundamental unit (number theory) Galois extension Global field Group algebra Group representation Haar measure Harish-Chandra Hecke L-function Hilbert space Homomorphism Induced representation Infinite product Inner automorphism Integer Invariant measure Invariant subspace Irreducible representation L-function Lie algebra Linear map Matrix coefficient Mellin transform Meromorphic function Modular form P-adic number Poisson summation formula Prime ideal Prime number Principal series representation Projective representation Quadratic field Quadratic form Quaternion algebra Quaternion Real number Regular representation Representation theory Ring (mathematics) Ring of integers Scientific notation Selberg trace formula Simple algebra Square-integrable function Sub"ient Subgroup Summation Theorem Theory Theta function Topological group Topology Trace formula Trivial representation Uniqueness theorem Unitary operator Unitary representation Universal enveloping algebra Upper half-plane Variable (mathematics) Vector space Weil group |
| ISBN | 1-4008-8161-7 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- PREFACE -- CONTENTS -- §1. THE CLASSICAL THEORY -- §2. AUTOMORPHIC FORMS AND THE DECOMPOSITION OF L2(ΓSL(2,ℝ)) -- §3. AUTOMORPHIC FORMS AS FUNCTIONS ON THE ADELE GROUP OF GL(2) -- §4. THE REPRESENTATIONS OF GL(2) OVER LOCAL AND GLOBAL FIELDS -- §5 . CUSP FORMS AND REPRESENTATIONS OF THE ADELE GROUP OF GL(2) -- §6. HECKE THEORY FOR GL(2) -- §7 . THE CONSTRUCTION OF A SPECIAL CLASS OF AUTOMORPHIC FORMS -- § 8 . EISENSTEIN SERIES AND THE CONTINUOUS SPECTRUM -- §9. THE TRACE FORMULA FOR GL(2) -- §10. AUTOMORPHIC FORMS ON A QUATERNION ALGEBRA -- BIBLIOGRAPHY -- INDEX |
| Record Nr. | UNINA-9910154753203321 |
Gelbart Stephen S.
|
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Fourier analysis on matrix space / / by Stephen S. Gelbart
| Fourier analysis on matrix space / / by Stephen S. Gelbart |
| Autore | Gelbart Stephen S. |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1971 |
| Descrizione fisica | 1 online resource (83 p.) |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico | Fourier series |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-9898-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Table of Contents""; ""Chapter I. Introduction""; ""Chapter II. Problem A for GL(n, 1R)""; ""2.1 The representation theory of GL(2,1R)""; ""2.2 The Plancherel formula for GL(2,1R)""; ""2. 3 Solution to Problem A for M(2,1R)""; ""2.4 The representation theory and main theorem for GL(n,1R)""; ""Appendix""; ""Chapter III. GL(n,k)""; ""3.1 Analysis on M(l,k)""; ""3.2 Invariant factors and gamma functions""; ""3.3 M(n,k)""; ""Chapter IV. Zeta-functions on M(n, 1R)"" |
| Record Nr. | UNINA-9910479902503321 |
|
Gelbart Stephen S.
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1971 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Fourier analysis on matrix space / / by Stephen S. Gelbart
| Fourier analysis on matrix space / / by Stephen S. Gelbart |
| Autore | Gelbart Stephen S. |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1971 |
| Descrizione fisica | 1 online resource (83 p.) |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico | Fourier series |
| ISBN | 0-8218-9898-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Table of Contents""; ""Chapter I. Introduction""; ""Chapter II. Problem A for GL(n, 1R)""; ""2.1 The representation theory of GL(2,1R)""; ""2.2 The Plancherel formula for GL(2,1R)""; ""2. 3 Solution to Problem A for M(2,1R)""; ""2.4 The representation theory and main theorem for GL(n,1R)""; ""Appendix""; ""Chapter III. GL(n,k)""; ""3.1 Analysis on M(l,k)""; ""3.2 Invariant factors and gamma functions""; ""3.3 M(n,k)""; ""Chapter IV. Zeta-functions on M(n, 1R)"" |
| Record Nr. | UNINA-9910788612003321 |
|
Gelbart Stephen S.
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1971 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Fourier analysis on matrix space / / by Stephen S. Gelbart
| Fourier analysis on matrix space / / by Stephen S. Gelbart |
| Autore | Gelbart Stephen S. |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1971 |
| Descrizione fisica | 1 online resource (83 p.) |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico | Fourier series |
| ISBN | 0-8218-9898-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Table of Contents""; ""Chapter I. Introduction""; ""Chapter II. Problem A for GL(n, 1R)""; ""2.1 The representation theory of GL(2,1R)""; ""2.2 The Plancherel formula for GL(2,1R)""; ""2. 3 Solution to Problem A for M(2,1R)""; ""2.4 The representation theory and main theorem for GL(n,1R)""; ""Appendix""; ""Chapter III. GL(n,k)""; ""3.1 Analysis on M(l,k)""; ""3.2 Invariant factors and gamma functions""; ""3.3 M(n,k)""; ""Chapter IV. Zeta-functions on M(n, 1R)"" |
| Record Nr. | UNINA-9910811751903321 |
|
Gelbart Stephen S.
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1971 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||