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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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 |
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 | ||
|
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 | ||
|
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 | ||
|
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 | ||
|
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 | ||
Lo trovi qui: Univ. Federico II | ||
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