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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.  
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
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
Opac: Controlla la disponibilità qui
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 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
Opac: Controlla la disponibilità qui
Lectures on Fourier Integrals. (AM-42), Volume 42 / / Salomon Trust
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
Opac: Controlla la disponibilità qui
Seminar on Singularities of Solutions of Linear Partial Differential Equations. (AM-91), Volume 91 / / Lars Hörmander
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
Opac: Controlla la disponibilità qui
Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula. (AM-120), Volume 120 / / Laurent Clozel, James Arthur
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
Opac: Controlla la disponibilità qui
Spectral Action in Noncommutative Geometry / Michał Eckstein, Bruno Iochum
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
Opac: Controlla la disponibilità qui
Spectral Action in Noncommutative Geometry / Michał Eckstein, Bruno Iochum
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
Opac: Controlla la disponibilità qui