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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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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 |
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Folland Gerald B.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Renormalization and 3-manifolds which fiber over the circle / / by Curtis T. McMullen
| Renormalization and 3-manifolds which fiber over the circle / / by Curtis T. McMullen |
| Autore | McMullen Curtis T. |
| Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 1996 |
| Descrizione fisica | 1 online resource (264 p.) |
| Disciplina | 514/.3 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Three-manifolds (Topology)
Differentiable dynamical systems |
| Soggetto non controllato |
Algebraic topology
Analytic continuation Automorphism Beltrami equation Bifurcation theory Boundary (topology) Cantor set Circular symmetry Combinatorics Compact space Complex conjugate Complex manifold Complex number Complex plane Conformal geometry Conformal map Conjugacy class Convex hull Covering space Deformation theory Degeneracy (mathematics) Dimension (vector space) Disk (mathematics) Dynamical system Eigenvalues and eigenvectors Factorization Fiber bundle Fuchsian group Fundamental domain Fundamental group Fundamental solution G-module Geodesic Geometry Harmonic analysis Hausdorff dimension Homeomorphism Homotopy Hyperbolic 3-manifold Hyperbolic geometry Hyperbolic manifold Hyperbolic space Hypersurface Infimum and supremum Injective function Intersection (set theory) Invariant subspace Isometry Julia set Kleinian group Laplace's equation Lebesgue measure Lie algebra Limit point Limit set Linear map Mandelbrot set Manifold Mapping class group Measure (mathematics) Moduli (physics) Moduli space Modulus of continuity Möbius transformation N-sphere Newton's method Permutation Point at infinity Polynomial Quadratic function Quasi-isometry Quasiconformal mapping Quasisymmetric function Quotient space (topology) Radon–Nikodym theorem Renormalization Representation of a Lie group Representation theory Riemann sphere Riemann surface Riemannian manifold Schwarz lemma Simply connected space Special case Submanifold Subsequence Support (mathematics) Tangent space Teichmüller space Theorem Topology of uniform convergence Topology Trace (linear algebra) Transversal (geometry) Transversality (mathematics) Triangle inequality Unit disk Unit sphere Upper and lower bounds Vector field |
| ISBN |
0-691-01154-0
1-4008-6517-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- 1 Introduction -- 2 Rigidity of hyperbolic manifolds -- 3 Three-manifolds which fiber over the circle -- 4 Quadratic maps and renormalization -- 5 Towers -- 6 Rigidity of towers -- 7 Fixed points of renormalization -- 8 Asymptotic structure in the Julia set -- 9 Geometric limits in dynamics -- 10 Conclusion -- Appendix A. Quasiconformal maps and flows -- Appendix B Visual extension -- Bibliography -- Index |
| Record Nr. | UNINA-9910786510603321 |
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McMullen Curtis T.
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| Princeton, New Jersey : , : Princeton University Press, , 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Renormalization and 3-manifolds which fiber over the circle / / by Curtis T. McMullen
| Renormalization and 3-manifolds which fiber over the circle / / by Curtis T. McMullen |
| Autore | McMullen Curtis T. |
| Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 1996 |
| Descrizione fisica | 1 online resource (264 p.) |
| Disciplina | 514/.3 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Three-manifolds (Topology)
Differentiable dynamical systems |
| Soggetto non controllato |
Algebraic topology
Analytic continuation Automorphism Beltrami equation Bifurcation theory Boundary (topology) Cantor set Circular symmetry Combinatorics Compact space Complex conjugate Complex manifold Complex number Complex plane Conformal geometry Conformal map Conjugacy class Convex hull Covering space Deformation theory Degeneracy (mathematics) Dimension (vector space) Disk (mathematics) Dynamical system Eigenvalues and eigenvectors Factorization Fiber bundle Fuchsian group Fundamental domain Fundamental group Fundamental solution G-module Geodesic Geometry Harmonic analysis Hausdorff dimension Homeomorphism Homotopy Hyperbolic 3-manifold Hyperbolic geometry Hyperbolic manifold Hyperbolic space Hypersurface Infimum and supremum Injective function Intersection (set theory) Invariant subspace Isometry Julia set Kleinian group Laplace's equation Lebesgue measure Lie algebra Limit point Limit set Linear map Mandelbrot set Manifold Mapping class group Measure (mathematics) Moduli (physics) Moduli space Modulus of continuity Möbius transformation N-sphere Newton's method Permutation Point at infinity Polynomial Quadratic function Quasi-isometry Quasiconformal mapping Quasisymmetric function Quotient space (topology) Radon–Nikodym theorem Renormalization Representation of a Lie group Representation theory Riemann sphere Riemann surface Riemannian manifold Schwarz lemma Simply connected space Special case Submanifold Subsequence Support (mathematics) Tangent space Teichmüller space Theorem Topology of uniform convergence Topology Trace (linear algebra) Transversal (geometry) Transversality (mathematics) Triangle inequality Unit disk Unit sphere Upper and lower bounds Vector field |
| ISBN |
0-691-01154-0
1-4008-6517-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- 1 Introduction -- 2 Rigidity of hyperbolic manifolds -- 3 Three-manifolds which fiber over the circle -- 4 Quadratic maps and renormalization -- 5 Towers -- 6 Rigidity of towers -- 7 Fixed points of renormalization -- 8 Asymptotic structure in the Julia set -- 9 Geometric limits in dynamics -- 10 Conclusion -- Appendix A. Quasiconformal maps and flows -- Appendix B Visual extension -- Bibliography -- Index |
| Record Nr. | UNINA-9910816804803321 |
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McMullen Curtis T.
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| Princeton, New Jersey : , : Princeton University Press, , 1996 | ||
| 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 |
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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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Seminar on Transformation Groups. (AM-46), Volume 46 / / Armand Borel
| Seminar on Transformation Groups. (AM-46), Volume 46 / / Armand Borel |
| Autore | Borel Armand |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (261 pages) : illustrations |
| Disciplina | 512.86 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Algebraic topology
Transformation groups |
| Soggetto non controllato |
Abelian group
Addition Algebraic topology Analytic function Armand Borel Big O notation Bijection Chain complex Circle group Codimension Coefficient Cohomology ring Cohomology Commutative diagram Complex number Conjugacy class Connected component (graph theory) Connected space Continuous function Corollary Counterexample Cup product Cyclic group Diffeomorphism Differentiable function Dimension (vector space) Dimension function Dimension Direct product Direct sum Embedding Equivariant map Euclidean space Exact sequence Exponential function Fiber bundle Field of fractions Finite group Finitely generated module Functor Group action H-space Hausdorff space Homeomorphism Homogeneous space Homological algebra Homology (mathematics) Homology sphere Homomorphism Ideal (ring theory) Identity component Inner automorphism Invariant subspace Lie algebra Lie group Linear combination Linearity Locally compact space Manifold Mathematical induction Maximal torus Metatheorem Metric space Module (mathematics) Monotonic function N-sphere Neighbourhood (mathematics) Open set Orientability P-group Paracompact space Partially ordered set Polynomial Presheaf (category theory) Prime ideal Projective space Quotient space (topology) Real variable Riemannian manifold Scientific notation Sheaf (mathematics) Simply connected space Solvable group Special case Spectral sequence Subgroup Subset Support (mathematics) Sylow theorems Tangent vector Theorem Topological group Topological space Torsion subgroup Transpose Unique factorization domain Universal bundle Universal coefficient theorem Vector space Weyl group |
| ISBN | 1-4008-8267-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- TABLE OP CONTENTS -- INTRODUCTION -- CHAPTER I: COHOMOLOGY MANIFOLDS / Borel, A. -- CHAPTER II: HOMOLOGY AND DUALITY IN GENERALIZED MANIFOLDS / Borel, A. -- CHAPTER III: PERIODIC MAPS VIA SMITH THEORY / Floyd, E. E. -- CHAPTER IV: THE ACTION OF Zp OR T1 : GLOBAL THEOREMS / Borel, A. -- CHAPTER V: THE ACTION OF Zp T1 : LOCAL THEOREMS / Borel, A. -- CHAPTER VI: ISOTROPY SUBGROUPS OP TORAL GROUPS / Floyd, E. E. -- CHAPTER VII: FINITENESS OP NUMBER OF ORBIT TYPES / Bredon, G. E. -- CHAPTER VIII: SLICES AND EQUIVARIANT IMBEDDINGS / Palais, R. S. -- CHAPTER IX: ORBITS OF HIGHEST DIMENSION / Montgomery, Deane -- CHAPTER X: THE SPECTRAL SEQUENCE OF A BIFILTERED MODULE, / Borel, A. -- CHAPTER XI: THE SPECTRAL SEQUENCE OF FARY / Borel, A. -- CHAPTER XII: FIXED POINT THEOREMS FOR ELEMENTARY COMMUTATIVE GROUPS I / Borel, A. -- CHAPTER XIII: FIXED POINT THEOREMS FOR ELEMENTARY COMMUTATIVE GROUPS II / Borel, A. -- CHAPTER XIV: ONE OR W O CLASSES OF ORBITS / Borel, A. -- CHAPTER XV: FIXED POINT SETS AND ORBITS OF COMPLEMENTARY DIMENSION / Bredon, G. E. -- CHAPTER XVI: REMARKS ON THE SPECTRAL SEQUENCE OF A MAP / Borel, A. -- Backmatter |
| Record Nr. | UNINA-9910154746603321 |
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Borel Armand
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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The Spectral Theory of Toeplitz Operators. (AM-99), Volume 99 / / L. Boutet de Monvel, Victor Guillemin
| The Spectral Theory of Toeplitz Operators. (AM-99), Volume 99 / / L. Boutet de Monvel, Victor Guillemin |
| Autore | Boutet de Monvel L. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (168 pages) |
| Disciplina | 515.7/246 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Toeplitz operators
Spectral theory (Mathematics) |
| Soggetto non controllato |
Algebraic variety
Asymptotic analysis Asymptotic expansion Big O notation Boundary value problem Change of variables Chern class Codimension Cohomology Compact group Complex manifold Complex vector bundle Connection form Contact geometry Corollary Cotangent bundle Curvature form Diffeomorphism Differentiable manifold Dimensional analysis Discrete spectrum Eigenvalues and eigenvectors Elaboration Elliptic operator Embedding Equivalence class Existential quantification Exterior (topology) Fourier integral operator Fourier transform Hamiltonian vector field Holomorphic function Homogeneous function Hypoelliptic operator Integer Integral curve Integral transform Invariant subspace Lagrangian (field theory) Lagrangian Limit point Line bundle Linear map Mathematics Metaplectic group Natural number Normal space One-form Open set Operator (physics) Oscillatory integral Parallel transport Parameter Parametrix Periodic function Polynomial Projection (linear algebra) Projective variety Pseudo-differential operator Q.E.D. Quadratic form Quantity Quotient ring Real number Scientific notation Self-adjoint Smoothness Spectral theorem Spectral theory Square root Submanifold Summation Support (mathematics) Symplectic geometry Symplectic group Symplectic manifold Symplectic vector space Tangent space Theorem Todd class Toeplitz algebra Toeplitz matrix Toeplitz operator Trace formula Transversal (geometry) Trigonometric functions Variable (mathematics) Vector bundle Vector field Vector space Volume form Wave front set |
| ISBN | 1-4008-8144-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- §1. Introduction -- §2. GENERALIZED TOEPLITZ OPERATORS -- §3. FOURIER INTEGRAL OPERATORS OF HERMITE TYPE -- §4. THE METAPLECTIC REPRESENTATION -- §5. METALINEAR AND METAPLECTIC STRUCTURES ON MANIFOLDS -- §6. ISOTROPIC SUBSPACES OF SYMPLECTIC VECTOR SPACES -- §7. THE COMPOSITION THEOREM -- §8. THE PROOF OF THEOREM 7.5 -- §9. PULL-BACKS, PUSH-FORWARDS AND EXTERIOR TENSOR PRODUCTS -- §10. THE TRANSPORT EQUATION -- §11. SYMBOLIC PROPERTIES OF TOEPLITZ OPERATORS -- §12. THE TRACE FORMULA -- §13. SPECTRAL PROPERTIES OF TOEPLITZ OPERATORS -- §14. THE HILBERT POLYNOMIAL -- §15. SOME CONCLUDING REMARKS -- BIBLIOGRAPHY -- APPENDIX: QUANTIZED CONTACT STRUCTURES -- Backmatter |
| Record Nr. | UNINA-9910154743403321 |
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Boutet de Monvel L.
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| 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 |
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Stein Elias M.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Unitary Representations of Reductive Lie Groups. (AM-118), Volume 118 / / David A. Vogan
| Unitary Representations of Reductive Lie Groups. (AM-118), Volume 118 / / David A. Vogan |
| Autore | Vogan David A. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (320 pages) |
| Disciplina | 512/.55 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Lie groups
Representations of Lie groups |
| Soggetto non controllato |
Abelian group
Adjoint representation Annihilator (ring theory) Atiyah–Singer index theorem Automorphic form Automorphism Cartan subgroup Circle group Class function (algebra) Classification theorem Cohomology Commutator subgroup Complete metric space Complex manifold Conjugacy class Cotangent space Dimension (vector space) Discrete series representation Dixmier conjecture Dolbeault cohomology Duality (mathematics) Eigenvalues and eigenvectors Exponential map (Lie theory) Exponential map (Riemannian geometry) Exterior algebra Function space Group homomorphism Harmonic analysis Hecke algebra Hilbert space Hodge theory Holomorphic function Holomorphic vector bundle Homogeneous space Homomorphism Induced representation Infinitesimal character Inner automorphism Invariant subspace Irreducibility (mathematics) Irreducible representation Isometry group Isometry K-finite Kazhdan–Lusztig polynomial Langlands decomposition Lie algebra cohomology Lie algebra representation Lie algebra Lie group action Lie group Mathematical induction Maximal compact subgroup Measure (mathematics) Minkowski space Nilpotent group Orbit method Orthogonal group Parabolic induction Principal homogeneous space Principal series representation Projective space Pseudo-Riemannian manifold Pullback (category theory) Ramanujan–Petersson conjecture Reductive group Regularity theorem Representation of a Lie group Representation theorem Representation theory Riemann sphere Riemannian manifold Schwartz space Semisimple Lie algebra Sheaf (mathematics) Sign (mathematics) Special case Spectral theory Sub"ient Subgroup Support (mathematics) Symplectic geometry Symplectic group Symplectic vector space Tangent space Tautological bundle Theorem Topological group Topological space Trivial representation Unitary group Unitary matrix Unitary representation Universal enveloping algebra Vector bundle Weyl algebra Weyl character formula Weyl group Zariski's main theorem Zonal spherical function |
| ISBN | 1-4008-8238-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- CONTENTS -- ACKNOWLEDGEMENTS -- INTRODUCTION -- Chapter 1. COMPACT GROUPS AND THE BOREL-WEIL THEOREM -- Chapter 2. HARISH-CHANDRA MODULES -- Chapter 3. PARABOLIC INDUCTION -- Chapter 4. STEIN COMPLEMENTARY SERIES AND THE UNITARY DUAL OF GL(n,ℂ) -- Chapter 5. COHOMOLOGICAL PARABOLIC INDUCTION: ANALYTIC THEORY -- Chapter 6. COHOMOLOGICAL PARABOLIC INDUCTION: ALGEBRAIC THEORY -- Interlude. THE IDEA OF UNIPOTENT REPRESENTATIONS -- Chapter 7. FINITE GROUPS AND UNIPOTENT REPRESENTATIONS -- Chapter 8. LANGLANDS' PRINCIPLE OF FUNCTORIALITY AND UNIPOTENT REPRESENTATIONS -- Chapter 9. PRIMITIVE IDEALS AND UNIPOTENT REPRESENTATIONS -- Chapter 10. THE ORBIT METHOD AND UNIPOTENT REPRESENTATIONS -- Chapter 11. E-MULTIPLICITIES AND UNIPOTENT REPRESENTATIONS -- Chapter 12. ON THE DEFINITION OF UNIPOTENT REPRESENTATIONS -- Chapter 13. EXHAUSTION -- REFERENCES -- Backmatter |
| Record Nr. | UNINA-9910154742103321 |
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Vogan David A.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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