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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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Endoscopy for GSp(4) and the cohomology of Siegel modular threefolds / Rainer Weissauer
| Endoscopy for GSp(4) and the cohomology of Siegel modular threefolds / Rainer Weissauer |
| Autore | Weissauer, Rainer |
| Pubbl/distr/stampa | Berlin, : Springer, 2009 |
| Descrizione fisica | XVII, 368 p. ; 24 cm |
| Soggetto topico |
11Exx - Forms and linear algebraic groups [MSC 2020]
57Mxx - General low-dimensional topology [MSC 2020] 11Fxx - Discontinuous groups and automorphic forms [MSC 2020] 11Gxx - Arithmetic algebraic geometry (Diophantine geometry) [MSC 2020] 32Nxx - Automorphic functions [MSC 2020] |
| Soggetto non controllato |
Automorphic representations
Cohomology Cohomology group Endoscopy Homology Ramanujan's conjecture Selberg trace formula l-adic representations |
| ISBN | 978-35-408-9305-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0071096 |
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Weissauer, Rainer
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| Berlin, : Springer, 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Harmonic analysis on symmetric spaces—higher rank spaces, positive definite matrix space and generalizations / Audrey Terras
| Harmonic analysis on symmetric spaces—higher rank spaces, positive definite matrix space and generalizations / Audrey Terras |
| Autore | Terras, Audrey |
| Edizione | [2. ed] |
| Pubbl/distr/stampa | New York, : Springer, 2016 |
| Descrizione fisica | XV, 487 p. : ill. ; 24 cm |
| Soggetto topico |
43A85 - Analysis on homogeneous spaces [MSC 2020]
43-XX - Abstract harmonic analysis [MSC 2020] 11F66 - Langlands $L$-functions; one variable Dirichlet series and functional equations [MSC 2020] 11F30 - Fourier coefficients of automorphic forms [MSC 2020] 22E30 - Analysis on real and complex Lie groups [MSC 2020] 22E40 - Discrete subgroups of Lie groups [MSC 2020] 22F30 - Homogeneous spaces [MSC 2020] 11F60 - Hecke-Petersson operators, differential operators (several variables) [MSC 2020] |
| Soggetto non controllato |
Automorphic forms
Combinatorics Eisenstein Series Harish-Chandra c-function Harmonic analysis Helgason-Fourier transform Modular group Poisson summation formula Polar and Iwasawa coordinates Selberg trace formula Symmetric spaces |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0114834 |
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Terras, Audrey
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| New York, : Springer, 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Principles of harmonic analysis / Anton Deitmar, Siegfried Echterhoff
| Principles of harmonic analysis / Anton Deitmar, Siegfried Echterhoff |
| Autore | Deitmar, Anton |
| Edizione | [2. ed] |
| Pubbl/distr/stampa | Cham, : Springer, 2014 |
| Descrizione fisica | XIII, 332 p. : ill. ; 24 cm |
| Altri autori (Persone) | Echterhoff, Siegfried |
| Soggetto topico | 43-XX - Abstract harmonic analysis [MSC 2020] |
| Soggetto non controllato |
Abelian groups
Direct and Indirect Integrals Fourier analysis Harmonic analysis Pontryagin duality Selberg trace formula |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0103413 |
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Deitmar, Anton
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| Cham, : Springer, 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Scattering Theory for Automorphic Functions. (AM-87), Volume 87 / / Peter D. Lax, Ralph S. Phillips
| Scattering Theory for Automorphic Functions. (AM-87), Volume 87 / / Peter D. Lax, Ralph S. Phillips |
| Autore | Lax Peter D. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (313 pages) |
| Disciplina | 515.9 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Automorphic functions
Scattering (Mathematics) |
| Soggetto non controllato |
Absolute continuity
Algebra Analytic continuation Analytic function Annulus (mathematics) Asymptotic distribution Automorphic function Bilinear form Boundary (topology) Boundary value problem Bounded operator Calculation Cauchy sequence Change of variables Complex plane Conjugacy class Convolution Cusp neighborhood Cyclic group Derivative Differential equation Differential operator Dimension (vector space) Dimensional analysis Dirichlet integral Dirichlet series Eigenfunction Eigenvalues and eigenvectors Eisenstein series Elliptic operator Elliptic partial differential equation Equation Equivalence class Even and odd functions Existential quantification Explicit formula Explicit formulae (L-function) Exponential function Fourier transform Function space Functional analysis Functional calculus Fundamental domain Harmonic analysis Hilbert space Hyperbolic partial differential equation Infinitesimal generator (stochastic processes) Integral equation Integration by parts Invariant subspace Laplace operator Laplace transform Lebesgue measure Linear differential equation Linear space (geometry) Matrix (mathematics) Maximum principle Meromorphic function Modular group Neumann boundary condition Norm (mathematics) Null vector Number theory Operator theory Orthogonal complement Orthonormal basis Paley–Wiener theorem Partial differential equation Perturbation theory (quantum mechanics) Perturbation theory Primitive element (finite field) Principal component analysis Projection (linear algebra) Quadratic form Removable singularity Representation theorem Resolvent set Riemann hypothesis Riemann surface Riemann zeta function Riesz representation theorem Scatter matrix Scattering theory Schwarz reflection principle Selberg trace formula Self-adjoint Semigroup Sign (mathematics) Spectral theory Subgroup Subsequence Summation Support (mathematics) Theorem Trace class Trace formula Unitary operator Wave equation Weighted arithmetic mean Winding number |
| ISBN | 1-4008-8156-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- PREFACE -- LIST OF SYMBOLS -- §1. INTRODUCTION -- §2. AN ABSTRACT SCATTERING THEORY -- §3. A MODIFIED THEORY FOR SECOND ORDER EQUATIONS WITH AN INDEFINITE ENERGY FORM -- §4. THE LAPLACE-BELTRAMI OPERATOR FOR THE MODULAR GROUP -- §5. THE AUTOMORPHIC WAVE EQUATIONS -- §6. INCOMING AND OUTGOING SUBSPACES FOR THE AUTOMORPHIC WAVE EQUATION -- §7. THE SCATTERING MATRIX FOR THE AUTOMORPHIC WAVE EQUATION -- §8. THE GENERAL CASE -- §9. THE SELBERG TRACE FORMULA -- REFERENCES -- INDEX -- Backmatter |
| Record Nr. | UNINA-9910154746703321 |
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Lax Peter D.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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The spectrum of hyperbolic surfaces / Nicolas Bergeron
| The spectrum of hyperbolic surfaces / Nicolas Bergeron |
| Autore | Bergeron, Nicolas |
| Pubbl/distr/stampa | [Cham], : Springer, 2016 |
| Descrizione fisica | p. : ill. ; 24 cm |
| Soggetto topico |
35P15 - Estimation of eigenvalues in context of PDEs [MSC 2020]
58J50 - Spectral problems; spectral geometry; scattering theory on manifolds [MSC 2020] 35P20 - Asymptotic distribution of eigenvalues in context of PDEs [MSC 2020] 11F72 - Spectral theory; trace formulas (e.g., that of Selberg) [MSC 2020] 11M36 - Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) [MSC 2020] 58J51 - Relations between spectral theory and ergodic theory, e.g. quantum unique ergodicity [MSC 2020] 35R01 - PDEs on manifolds [MSC 2020] |
| Soggetto non controllato |
Arithmetic manifolds
Hyperbolic surfaces Laplacian Maass forms Quantum Chaos Selberg trace formula |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0115437 |
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Bergeron, Nicolas
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| [Cham], : Springer, 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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