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. | ||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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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 |
Terras, Audrey | ||
New York, : Springer, 2016 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Vanvitelli | ||
|
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 |
11F30 - Fourier coefficients of automorphic forms [MSC 2020]
11F60 - Hecke-Petersson operators, differential operators (several variables) [MSC 2020] 11F66 - Langlands $L$-functions; one variable Dirichlet series and functional equations [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] 43-XX - Abstract harmonic analysis [MSC 2020] 43A85 - Analysis on homogeneous spaces [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-VAN00114834 |
Terras, Audrey | ||
New York, : Springer, 2016 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Vanvitelli | ||
|
Lectures on Fourier Integrals. (AM-42), Volume 42 / / Salomon Trust |
Autore | Trust Salomon |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (348 pages) |
Disciplina | 517.355 |
Altri autori (Persone) |
PollardHarry
TenenbaumMorris |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Fourier series
Integrals Harmonic analysis |
Soggetto non controllato |
Abscissa
Absolute value Absolutely integrable function Acta Mathematica Addition Additive function Affine transformation Almost periodic function Analytic function Antiderivative Arbitrarily large Arithmetic mean Augustin-Louis Cauchy Bernhard Riemann Bessel function Big O notation Borel set Boundary layer Boundary value problem Bounded function Bounded variation Calculation Cauchy principal value Characteristic function (probability theory) Coefficient Compact space Compactness theorem Complex number Continuous function Dense set Derivative Differentiable function Dirichlet series Distribution function Division by zero E. W. Hobson Eigenfunction Eigenvalues and eigenvectors Empty set Equation Existential quantification Exponential polynomial Exterior (topology) Fourier transform Function (mathematics) Functional equation Gamma function Generating function Harmonic function Initial point Integer Integral equation Interval (mathematics) Limit of a sequence Line (geometry) Linear combination Linear differential equation Mathematische Annalen Mean value theorem Monotonic function Null set Order of integration (calculus) Order of integration Order of magnitude Parameter Partial derivative Partial fraction decomposition Poisson formula Poisson summation formula Polar coordinate system Polynomial Power series Principal part Rapidity Rational function Rational number Real variable Remainder Requirement Set function Sign (mathematics) Smoothness Special case State function Step function Subsequence Summation Theorem Total variation Trigonometric integral Uniform convergence Uniqueness theorem Variable (mathematics) |
ISBN | 1-4008-8199-4 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- CONTENTS -- CHAPTER I. BASIC PROPERTIES OF TRIGONOMETRIC INTEGRALS -- CHAPTER II. REPRESENTATION - AND SUM FORMULAS -- CHAPTER III. THE FOURIER INTEGRAL THEOREM -- CHAPTER IV. STIELTJES INTEGRALS -- CHAPTER V. OPERATIONS WITH FUNCTIONS OF THE CLASS FO -- CHAPTER VI. GENERALIZED TRIGONOMETRIC INTEGRALS -- CHAPTER VII. ANALYTIC AND HARMONIC FUNCTIONS -- CHAPTER VIII. QUADRATIC INTEGRABILITV -- CHAPTER IX. FUNCTIONS OF SEVERAL VARIABLES -- APPENDIX -- REMARKS - QUOTATIONS -- MONOTONIC FUNCTIONS, STIELTJES INTEGRALS AND HARMONIC ANALYSIS -- SYMBOLS |
Record Nr. | UNINA-9910154749703321 |
Trust Salomon | ||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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Seminar on Singularities of Solutions of Linear Partial Differential Equations. (AM-91), Volume 91 / / Lars Hörmander |
Autore | Hörmander Lars |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (296 pages) : illustrations |
Disciplina | 515/.353 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Differential equations, Linear - Numerical solutions
Differential equations, Partial - Numerical solutions |
Soggetto non controllato |
A priori estimate
Adjoint equation Analytic continuation Analytic function Analytic manifold Asymptote Asymptotic analysis Asymptotic distribution Asymptotic expansion Asymptotic formula Big O notation Calculus on manifolds Canonical transformation Characteristic equation Characteristic function (probability theory) Codimension Cohomology Commutator Complex manifold Complex number Continuous function (set theory) Continuous function Covariant derivative Diffeomorphism Differential equation Differential operator Dirichlet problem Eigenfunction Eigenvalues and eigenvectors Elementary proof Elliptic boundary value problem Equation Equivalence class Equivalence relation Error term Existence theorem Existential quantification Exponential function Fourier integral operator Fourier inversion theorem Fourier transform Functional calculus Fundamental solution Hamiltonian vector field Hardy space Harmonic analysis Hermann Weyl Hermitian adjoint Hilbert space Holomorphic function Homogeneous function Hyperbolic partial differential equation Hyperfunction Hypersurface Inclusion map Inequality (mathematics) Integer lattice Integral transform Irreducible representation Lagrangian (field theory) Laplace operator Limit (mathematics) Linear map Local diffeomorphism Manifold Mathematical optimization Maximal torus Monotonic function Ordinary differential equation Oscillatory integral Partial differential equation Partition of unity Poisson bracket Poisson summation formula Polynomial Projection (linear algebra) Projective variety Pseudo-differential operator Regularity theorem Renormalization Riemann surface Riemannian manifold Riesz representation theorem Self-adjoint operator Self-adjoint Sign (mathematics) Special case Spectral theorem Spectral theory Summation Support (mathematics) Symplectic geometry Symplectic manifold Taylor series Theorem Toeplitz operator Trace class Trigonometric polynomial Unit disk Variable (mathematics) |
ISBN | 1-4008-8158-7 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface / Hörmander, Lars -- Spectral Analysis of Singularities / Hörmander, Lars -- Fourier Integral Operators with Complex Phase Functions / Sjöstrand, J. -- Hypoelliptic Operators with Double Characteristics / Menikoff, A. -- Differential Boundary Value Problems of Principal Type / Melrose, R. B. -- Propagation of Singularities for a Class of Operators with Double Characteristics / Hanges, Nicholas -- Subelliptic Operators / Hörmander, Lars -- Lacunas and Transmissions / Monvel, Louis Boutet de -- Some Classical Theorems in Spectral Theory Revisited / Guillemin, Victor -- Szegö's Theorem and a Complete Symbolic Calculus for Pseudo-Differential Operators / Widom, Harold -- Backmatter |
Record Nr. | UNINA-9910154745903321 |
Hörmander Lars | ||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula. (AM-120), Volume 120 / / Laurent Clozel, James Arthur |
Autore | Arthur James |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (248 pages) : illustrations |
Disciplina | 512/.2 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Representations of groups
Trace formulas Automorphic forms |
Soggetto non controllato |
0E
Addition Admissible representation Algebraic group Algebraic number field Approximation Archimedean property Automorphic form Automorphism Base change Big O notation Binomial coefficient Canonical map Cartan subalgebra Cartan subgroup Central simple algebra Characteristic polynomial Closure (mathematics) Combination Computation Conjecture Conjugacy class Connected component (graph theory) Continuous function Contradiction Corollary Counting Coxeter element Cusp form Cyclic permutation Dense set Density theorem Determinant Diagram (category theory) Discrete series representation Discrete spectrum Division algebra Eigenvalues and eigenvectors Eisenstein series Exact sequence Existential quantification Field extension Finite group Finite set Fourier transform Functor Fundamental lemma (Langlands program) Galois extension Galois group Global field Grothendieck group Group representation Haar measure Harmonic analysis Hecke algebra Hilbert's Theorem 90 Identity component Induced representation Infinite product Infinitesimal character Invariant measure Irreducibility (mathematics) Irreducible representation L-function Langlands classification Laurent series Lie algebra Lie group Linear algebraic group Local field Mathematical induction Maximal compact subgroup Multiplicative group Nilpotent group Orbital integral P-adic number Paley–Wiener theorem Parameter Parametrization Permutation Poisson summation formula Real number Reciprocal lattice Reductive group Root of unity Scientific notation Semidirect product Special case Spherical harmonics Subgroup Subset Summation Support (mathematics) Tensor product Theorem Trace formula Unitary representation Weil group Weyl group Zero of a function |
ISBN | 1-4008-8240-0 |
Classificazione | SK 240 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Introduction -- Chapter 1. Local Results -- Chapter 2. The Global Comparison -- Chapter 3. Base Change -- Bibliography |
Record Nr. | UNINA-9910154743703321 |
Arthur James | ||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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Spectral Action in Noncommutative Geometry / Michał Eckstein, Bruno Iochum |
Autore | Eckstein, Michał |
Pubbl/distr/stampa | Cham, : Springer, 2018 |
Descrizione fisica | xiv, 155 p. : ill. ; 24 cm |
Altri autori (Persone) | Iochum, Bruno |
Soggetto topico |
81-XX - Quantum theory [MSC 2020]
58B34 - Noncommutative geometry (a la Connes) [MSC 2020] 81R60 - Noncommutative geometry in quantum theory [MSC 2020] 83C65 - Methods of noncommutative geometry in general relativity [MSC 2020] 81T75 - Noncommutative geometry methods in quantum field theory [MSC 2020] |
Soggetto non controllato |
Action functional
Almost-commutative Geometries Heat Kernel expansion Heat operator Mellin transforms Noncommutative geometry Noncommutative integral Noncommutative tori Operator heat trace Podles sphere Poisson summation formula Sobolev spaces Spectral functions Spectral triples |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Titolo uniforme | |
Record Nr. | UNICAMPANIA-VAN0211668 |
Eckstein, Michał | ||
Cham, : Springer, 2018 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Vanvitelli | ||
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Spectral Action in Noncommutative Geometry / Michał Eckstein, Bruno Iochum |
Autore | Eckstein, Michał |
Pubbl/distr/stampa | Cham, : Springer, 2018 |
Descrizione fisica | xiv, 155 p. : ill. ; 24 cm |
Altri autori (Persone) | Iochum, Bruno |
Soggetto topico |
58B34 - Noncommutative geometry (a la Connes) [MSC 2020]
81-XX - Quantum theory [MSC 2020] 81R60 - Noncommutative geometry in quantum theory [MSC 2020] 81T75 - Noncommutative geometry methods in quantum field theory [MSC 2020] 83C65 - Methods of noncommutative geometry in general relativity [MSC 2020] |
Soggetto non controllato |
Action functional
Almost-commutative Geometries Heat Kernel expansion Heat operator Mellin transforms Noncommutative geometry Noncommutative integral Noncommutative tori Operator heat trace Podles sphere Poisson summation formula Sobolev spaces Spectral functions Spectral triples |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Titolo uniforme | |
Record Nr. | UNICAMPANIA-VAN00211668 |
Eckstein, Michał | ||
Cham, : Springer, 2018 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Vanvitelli | ||
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