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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
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C-Algebra Extensions and K-Homology. (AM-95), Volume 95 / / Ronald G. Douglas
C-Algebra Extensions and K-Homology. (AM-95), Volume 95 / / Ronald G. Douglas
Autore Douglas Ronald G.
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (94 pages) : illustrations
Disciplina 512/.55
Collana Annals of Mathematics Studies
Soggetto topico C*-algebras
K-theory
Algebra, Homological
Soggetto non controllato Addition
Affine transformation
Algebraic topology
Atiyah–Singer index theorem
Automorphism
Banach algebra
Bijection
Boundary value problem
Bundle map
C*-algebra
Calculation
Cardinal number
Category of abelian groups
Characteristic class
Chern class
Clifford algebra
Coefficient
Cohomology
Compact operator
Completely positive map
Contact geometry
Continuous function
Corollary
Diagram (category theory)
Diffeomorphism
Differentiable manifold
Differential operator
Dimension (vector space)
Dimension function
Dimension
Direct integral
Direct proof
Eigenvalues and eigenvectors
Equivalence class
Equivalence relation
Essential spectrum
Euler class
Exact sequence
Existential quantification
Fiber bundle
Finite group
Fredholm operator
Fredholm
Free abelian group
Fundamental class
Fundamental group
Hardy space
Hermann Weyl
Hilbert space
Homological algebra
Homology (mathematics)
Homomorphism
Homotopy
Ideal (ring theory)
Inner automorphism
Irreducible representation
K-group
K-theory
Lebesgue space
Locally compact group
Maximal compact subgroup
Michael Atiyah
Monomorphism
Morphism
Natural number
Natural transformation
Normal operator
Operator algebra
Operator norm
Operator theory
Orthogonal group
Pairing
Piecewise linear manifold
Polynomial
Pontryagin class
Positive and negative parts
Positive map
Pseudo-differential operator
Quaternion
Quotient algebra
Self-adjoint operator
Self-adjoint
Simply connected space
Smooth structure
Special case
Stein manifold
Strong topology
Subalgebra
Subgroup
Subset
Summation
Tangent bundle
Theorem
Todd class
Topology
Torsion subgroup
Unitary operator
Universal coefficient theorem
Variable (mathematics)
Von Neumann algebra
ISBN 1-4008-8146-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Preface -- Chapter 1. An Overview -- Chapter 2. Ext as a Group -- Chapter 3. Ext as a Homotopy Functor -- Chapter 4. Generalized Homology Theory and Periodicity -- Chapter 5. Ext as K-Homology -- Chapter 6. Index Theorems snd Novikov's Higher Signatures -- References -- Index -- Index of Symbols -- Backmatter
Record Nr. UNINA-9910154752903321
Douglas Ronald G.  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Flows on Homogeneous Spaces. (AM-53), Volume 53 / / L. Green, F. Hahn, Louis Auslander
Flows on Homogeneous Spaces. (AM-53), Volume 53 / / L. Green, F. Hahn, Louis Auslander
Autore Auslander Louis
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (121 pages)
Disciplina 516
Collana Annals of Mathematics Studies
Soggetto topico Topological dynamics
Soggetto non controllato Additive group
Affine space
Automorphism
Change of basis
Characteristic class
Cohomology
Combination
Compact space
Complex number
Complexification
Constant function
Continuous function
Corollary
Coset
Dense set
Diagram (category theory)
Dimension (vector space)
Dimension
Diophantine approximation
Direct integral
Direct sum
Eigenfunction
Eigenvalues and eigenvectors
Empty set
Ergodic theory
Ergodicity
Euclidean space
Exact sequence
Existential quantification
Exponential function
Exponential map (Lie theory)
Fiber bundle
Finite set
Fundamental domain
Fundamental group
General position
Geodesic
Group representation
Haar measure
Hausdorff space
Hilbert space
Homeomorphism
Homogeneous coordinates
Homogeneous space
Homomorphism
Horocycle
Identity component
Imaginary number
Induced representation
Integer
Invariant measure
Irreducible component
Lebesgue measure
Lie algebra
Lie group
Linear fractional transformation
Locally compact group
Mathematical induction
Measure (mathematics)
Morphism
Nilpotent Lie algebra
Nilpotent group
Nilpotent
Non-abelian
Normal subgroup
One-dimensional space
One-parameter group
Open set
Phase space
Pointwise
Projection (linear algebra)
Regular element
Remainder
Representation theory
Riemannian manifold
Root system
Semidirect product
Solvable Lie algebra
Solvable group
Special case
Stone's theorem
Subalgebra
Subgroup
Subset
Tangent space
Tangent vector
Theorem
Three-dimensional space (mathematics)
Topological group
Topology
Transformation matrix
Transitive relation
Two-dimensional space
Unit sphere
Unit vector
Unitary operator
Unitary representation
Unitary transformation
Vector space
Without loss of generality
ISBN 1-4008-8202-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- INTRODUCTION -- CONTENTS -- CHAPTER I. AN OUTLINE OF RESULTS ON SOLVMANIFOLDS / Auslander, Louis -- CHAPTER II. ERGODIC THEORY AND GROUP REPRESENTATIONS / Green, L. -- CHAPTER III. FLOWS ON SOME THREE DIMENSIONAL HOMOGENEOUS SPACES / Auslander, L. / Green, L. / Hahn, F. -- APPENDIX TO III. ON THE FUNDAMENTAL GROUP OF CERTAIN FIBRE SPACES / Massey, W. -- CHAPTER IV. MINIMAL FLOWS ON NILMANIFOLDS / Auslander, L. / Hahn, F. / Markus, L. -- CHAPTER V. NILFLOWS, MEASURE THEORY / Green, L. -- CHAPTER VI. FLOWS ON CERTAIN SOLVMANIFOLDS NOT OF TYPE E / Auslander, L. / Hahn, F. -- CHAPTER VII. FLOWS IN TYPE (E) SOLVMANIFOLDS / Green, L. -- APPENDIX TO VII. A THEOREM ON DISCRETE SUBGROUPS OF SOLVABLE GROUPS OF TYPE (E) / Auslander, L. -- CHAPTER VIII. AN APPLICATION OF NILFLOWS TO DIOPHANTINE APPROXIMATIONS / Auslander, L. / Hahn, F. -- CHAPTER IX. DISCRETE GROUPS WITH DENSE ORBITS / Greenberg, Leon -- BIBLIOGRAPHY
Record Nr. UNINA-9910154748203321
Auslander Louis  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Harmonic Analysis in Phase Space. (AM-122), Volume 122 / / Gerald B. Folland
Harmonic Analysis in Phase Space. (AM-122), Volume 122 / / Gerald B. Folland
Autore Folland Gerald B.
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (289 pages) : illustrations
Disciplina 530.1/3
Collana Annals of Mathematics Studies
Soggetto topico Phase space (Statistical physics)
Harmonic analysis
Soggetto non controllato Analytic continuation
Analytic function
Antisymmetric tensor
Asymptotic expansion
Automorphism
Bilinear form
Bounded operator
Calculation
Canonical commutation relation
Canonical transformation
Cauchy–Riemann equations
Cayley transform
Class function (algebra)
Classical mechanics
Commutative property
Complex analysis
Configuration space
Differential equation
Differential geometry
Differential operator
Eigenvalues and eigenvectors
Equation
Explicit formula
Fock space
Fourier analysis
Fourier integral operator
Fourier transform
Functional analysis
Gaussian function
Gaussian integral
Geometric quantization
Hamiltonian mechanics
Hamiltonian vector field
Harmonic analysis
Heisenberg group
Hermite polynomials
Hermitian symmetric space
Hilbert space
Hilbert transform
Integral transform
Invariant subspace
Irreducible representation
Lebesgue measure
Lie algebra
Lie superalgebra
Lie theory
Mathematical physics
Number theory
Observable
Ordinary differential equation
Orthonormal basis
Oscillator representation
Oscillatory integral
Partial differential equation
Phase factor
Phase space
Point at infinity
Poisson bracket
Polynomial
Power series
Probability
Projection (linear algebra)
Projective Hilbert space
Projective representation
Projective space
Pseudo-differential operator
Pullback (category theory)
Quadratic function
Quantum harmonic oscillator
Quantum mechanics
Representation theory
Schrödinger equation
Self-adjoint operator
Semigroup
Several complex variables
Siegel disc
Sobolev space
Spectral theorem
Spectral theory
State-space representation
Stone's theorem
Stone–Weierstrass theorem
Summation
Symmetric space
Symmetric tensor
Symplectic geometry
Symplectic group
Symplectic vector space
Symplectomorphism
Tangent space
Tangent vector
Theorem
Translational symmetry
Unbounded operator
Unit vector
Unitarity (physics)
Unitary operator
Unitary representation
Variable (mathematics)
Wave packet
ISBN 1-4008-8242-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- CONTENTS -- PREFACE -- PROLOGUE. SOME MATTERS OF NOTATION -- CHAPTER 1. THE HEISENBERG GROUP AND ITS REPRESENTATIONS -- CHAPTER 2. QUANTIZATION AND PSEUDODIFFERENTIAL OPERATORS -- CHAPTER 3. WAVE PACKETS AND WAVE FRONTS -- CHAPTER 4. THE METAPLECTIC REPRESENTATION -- CHAPTER 5. THE OSCILLATOR SEMIGROUP -- APPENDIX A. GAUSSIAN INTEGRALS AND A LEMMA ON DETERMINANTS -- APPENDIX B. SOME HILBERT SPACE RESULTS -- BIBLIOGRAPHY -- INDEX
Record Nr. UNINA-9910154752303321
Folland Gerald B.  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Positive definite matrices [[electronic resource] /] / Rajendra Bhatia
Positive definite matrices [[electronic resource] /] / Rajendra Bhatia
Autore Bhatia Rajendra <1952->
Edizione [Course Book]
Pubbl/distr/stampa Princeton, N.J., : Princeton University Press, c2007
Descrizione fisica 1 online resource (265 p.)
Disciplina 512.9/434
Collana Princeton series in applied mathematics
Soggetto topico Matrices
Soggetto non controllato Addition
Analytic continuation
Arithmetic mean
Banach space
Binomial theorem
Block matrix
Bochner's theorem
Calculation
Cauchy matrix
Cauchy–Schwarz inequality
Characteristic polynomial
Coefficient
Commutative property
Compact space
Completely positive map
Complex number
Computation
Continuous function
Convex combination
Convex function
Convex set
Corollary
Density matrix
Diagonal matrix
Differential geometry
Eigenvalues and eigenvectors
Equation
Equivalence relation
Existential quantification
Extreme point
Fourier transform
Functional analysis
Fundamental theorem
G. H. Hardy
Gamma function
Geometric mean
Geometry
Hadamard product (matrices)
Hahn–Banach theorem
Harmonic analysis
Hermitian matrix
Hilbert space
Hyperbolic function
Infimum and supremum
Infinite divisibility (probability)
Invertible matrix
Lecture
Linear algebra
Linear map
Logarithm
Logarithmic mean
Mathematics
Matrix (mathematics)
Matrix analysis
Matrix unit
Metric space
Monotonic function
Natural number
Open set
Operator algebra
Operator system
Orthonormal basis
Partial trace
Positive definiteness
Positive element
Positive map
Positive semidefinite
Positive-definite function
Positive-definite matrix
Probability measure
Probability
Projection (linear algebra)
Quantity
Quantum computing
Quantum information
Quantum statistical mechanics
Real number
Riccati equation
Riemannian geometry
Riemannian manifold
Riesz representation theorem
Right half-plane
Schur complement
Schur's theorem
Scientific notation
Self-adjoint operator
Sign (mathematics)
Special case
Spectral theorem
Square root
Standard basis
Summation
Tensor product
Theorem
Toeplitz matrix
Unit vector
Unitary matrix
Unitary operator
Upper half-plane
Variable (mathematics)
ISBN 1-282-12974-0
9786612129742
1-4008-2778-7
Classificazione SK 220
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Preface -- Chapter One. Positive Matrices -- Chapter Two. Positive Linear Maps -- Chapter Three. Completely Positive Maps -- Chapter Four. Matrix Means -- Chapter Five. Positive Definite Functions -- Chapter Six. Geometry of Positive Matrices -- Bibliography -- Index -- Notation
Record Nr. UNINA-9910777727303321
Bhatia Rajendra <1952->  
Princeton, N.J., : Princeton University Press, c2007
Materiale a stampa
Lo trovi qui: Univ. Federico II
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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
Lax Peter D.  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63), Volume 63 / / Elias M. Stein
Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63), Volume 63 / / Elias M. Stein
Autore Stein Elias M.
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (160 pages)
Disciplina 515.2433
Collana Annals of Mathematics Studies
Soggetto topico Harmonic analysis
Littlewood-Paley theory
Lie groups
Semigroups
Soggetto non controllato Addition
Analytic function
Axiom
Boundary value problem
Central limit theorem
Change of variables
Circle group
Classification theorem
Commutative property
Compact group
Complex analysis
Convex set
Coset
Covering space
Derivative
Differentiable manifold
Differential geometry
Differential operator
Dimension (vector space)
Dimension
Direct sum
E6 (mathematics)
E7 (mathematics)
E8 (mathematics)
Elementary proof
Equation
Equivalence class
Existence theorem
Existential quantification
Fourier analysis
Fourier series
Fourier transform
Function space
General linear group
Haar measure
Harmonic analysis
Harmonic function
Hermite polynomials
Hilbert transform
Homogeneous space
Homomorphism
Ideal (ring theory)
Identity matrix
Indecomposability
Integral transform
Invariant measure
Invariant subspace
Irreducibility (mathematics)
Irreducible representation
Lebesgue measure
Legendre polynomials
Lie algebra
Lie group
Linear combination
Linear map
Local diffeomorphism
Markov process
Martingale (probability theory)
Matrix group
Measurable function
Measure (mathematics)
Multiple integral
Normal subgroup
One-dimensional space
Open set
Ordinary differential equation
Orthogonality
Orthonormality
Parseval's theorem
Partial differential equation
Probability space
Quadratic form
Rank of a group
Regular representation
Riemannian manifold
Riesz transform
Schur orthogonality relations
Scientific notation
Semigroup
Sequence
Special case
Stone–Weierstrass theorem
Sturm–Liouville theory
Subgroup
Subset
Summation
Tensor algebra
Tensor product
Theorem
Theory
Topological group
Topological space
Torus
Trigonometric polynomial
Trivial representation
Uniform convergence
Unitary operator
Unitary representation
Vector field
Vector space
ISBN 1-4008-8187-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Preface -- Contents -- Introduction -- Chapter I: Lie Groups (A Review) -- Chapter II: Littlewood-Paley Theory for a Compact Lie Group -- Chapter III: General Symmetric Diffusion Semi-Groups -- Chapter IV: The General Littlewood-Paley Theory -- Chapter V: Further Illustrations -- References -- Appendix (1985)
Record Nr. UNINA-9910154742803321
Stein Elias M.  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
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