The Admissible Dual of GL(N) via Compact Open Subgroups. (AM-129), Volume 129 / / C. Bushnell, P. C. Kutzko |
Autore | Bushnell C. |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (327 pages) : illustrations |
Disciplina | 512/.2 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Representations of groups
Nonstandard mathematical analysis |
Soggetto non controllato |
Abelian group
Abuse of notation Additive group Affine Hecke algebra Algebra homomorphism Approximation Automorphism Bijection Block matrix Calculation Cardinality Classical group Computation Conjecture Conjugacy class Contradiction Corollary Coset Critical exponent Diagonal matrix Dimension (vector space) Dimension Discrete series representation Discrete valuation ring Divisor Eigenvalues and eigenvectors Equivalence class Exact sequence Exactness Existential quantification Explicit formula Explicit formulae (L-function) Field extension Finite group Functor Gauss sum General linear group Group theory Haar measure Harmonic analysis Hecke algebra Homomorphism Identity matrix Induced representation Integer Irreducible representation Isomorphism class Iwahori subgroup Jordan normal form Levi decomposition Local Langlands conjectures Local field Locally compact group Mathematics Matrix coefficient Maximal compact subgroup Maximal ideal Multiset Normal subgroup P-adic number Permutation matrix Polynomial Profinite group Quantity Rational number Reductive group Representation theory Requirement Residue field Ring (mathematics) Scientific notation Simple module Special case Sub"ient Subgroup Subset Support (mathematics) Symmetric group Tensor product Terminology Theorem Topological group Topology Vector space Weil group Weyl group |
ISBN | 1-4008-8249-4 |
Classificazione | SK 340 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Introduction -- Comments for the reader -- 1. Exactness and intertwining -- 2. The structure of simple strata -- 3. The simple characters of a simple stratum -- 4. Interlude with Hecke algebra -- 5. Simple types -- 6. Maximal types -- 7. Typical representations -- 8. Atypical representations -- References -- Index of notation and terminology |
Record Nr. | UNINA-9910154750803321 |
Bushnell C. | ||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Beijing Lectures in Harmonic Analysis. (AM-112), Volume 112 / / Elias M. Stein |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (436 pages) : illustrations |
Disciplina | 515/.2433 |
Collana | Annals of Mathematics Studies |
Soggetto topico | Harmonic analysis |
Soggetto non controllato |
Analytic function
Asymptotic formula Bergman metric Bernhard Riemann Bessel function Biholomorphism Boundary value problem Bounded mean oscillation Bounded operator Boundedness Cauchy's integral formula Characteristic function (probability theory) Characterization (mathematics) Coefficient Commutator Complexification (Lie group) Continuous function Convolution Degeneracy (mathematics) Differential equation Differential operator Dirac delta function Dirichlet problem Equation Estimation Existence theorem Existential quantification Explicit formula Explicit formulae (L-function) Fatou's theorem Fourier analysis Fourier integral operator Fourier transform Fredholm theory Fubini's theorem Function (mathematics) Functional calculus Fundamental solution Gaussian curvature Hardy space Harmonic analysis Harmonic function Harmonic measure Heisenberg group Hilbert space Hilbert transform Hodge theory Holomorphic function Hyperbolic partial differential equation Hölder's inequality Infimum and supremum Integration by parts Interpolation theorem Intersection (set theory) Invertible matrix Isometry group Laplace operator Laplace's equation Lebesgue measure Linear map Lipschitz continuity Lipschitz domain Lp space Mathematical induction Mathematical physics Maximal function Maximum principle Measure (mathematics) Newtonian potential Non-Euclidean geometry Number theory Operator theory Oscillatory integral Parameter Partial derivative Partial differential equation Polynomial Power series Product metric Radon–Nikodym theorem Riemannian manifold Riesz representation theorem Scientific notation Several complex variables Sign (mathematics) Simultaneous equations Singular function Singular integral Sobolev space Square (algebra) Statistical hypothesis testing Stokes' theorem Support (mathematics) Tangent space Tensor product Theorem Trigonometric series Uniformization theorem Variable (mathematics) Vector field |
ISBN | 1-4008-8209-5 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- PREFACE -- NON-LINEAR HARMONIC ANALYSIS, OPERATOR THEORY AND P.D.E. / Coifman, R. R. / Meyer, Yves -- MULTIPARAMETER FOURIER ANALYSIS / Fefferman, Robert -- ELLIPTIC BOUNDARY VALUE PROBLEMS ON LIPSCHITZ DOMAINS / Kenig, Carlos E. -- INTEGRAL FORMULAS IN COMPLEX ANALYSIS / Krantz, Steven G. -- VECTOR FIELDS AND NONISOTROPIC METRICS / Nagel, Alexander -- OSCILLATORY INTEGRALS IN FOURIER ANALYSIS / Stein, E. M. -- AVERAGES AND SINGULAR INTEGRALS OVER LOWER DIMENSIONAL SETS / Wainge, Stephen -- INDEX -- Backmatter |
Record Nr. | UNINA-9910154749103321 |
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Characters of Reductive Groups over a Finite Field. (AM-107), Volume 107 / / George Lusztig |
Autore | Lusztig George |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (408 pages) : illustrations |
Disciplina | 512/.2 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Finite groups
Finite fields (Algebra) Characters of groups |
Soggetto non controllato |
Addition
Algebra representation Algebraic closure Algebraic group Algebraic variety Algebraically closed field Bijection Borel subgroup Cartan subalgebra Character table Character theory Characteristic function (probability theory) Characteristic polynomial Class function (algebra) Classical group Coefficient Cohomology with compact support Cohomology Combination Complex number Computation Conjugacy class Connected component (graph theory) Coxeter group Cyclic group Cyclotomic polynomial David Kazhdan Dense set Derived category Diagram (category theory) Dimension Direct sum Disjoint sets Disjoint union E6 (mathematics) Eigenvalues and eigenvectors Endomorphism Equivalence class Equivalence relation Existential quantification Explicit formula Explicit formulae (L-function) Fiber bundle Finite field Finite group Fourier transform Green's function Group (mathematics) Group action Group representation Harish-Chandra Hecke algebra Identity element Integer Irreducible representation Isomorphism class Jordan decomposition Line bundle Linear combination Local system Mathematical induction Maximal torus Module (mathematics) Monodromy Morphism Orthonormal basis P-adic number Parametrization Parity (mathematics) Partially ordered set Perverse sheaf Pointwise Polynomial Quantity Rational point Reductive group Ree group Schubert variety Scientific notation Semisimple Lie algebra Sheaf (mathematics) Simple group Simple module Special case Standard basis Subset Subtraction Summation Surjective function Symmetric group Tensor product Theorem Two-dimensional space Unipotent representation Vector bundle Vector space Verma module Weil conjecture Weyl group Zariski topology |
ISBN | 1-4008-8177-3 |
Classificazione | SK 260 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- INTRODUCTION -- 1. COMPUTATION OF LOCAL INTERSECTION COHOMOLOGY OF CERTAIN LINE BUNDLES OVER A SCHUBERT VARIETY -- 2. LOCAL INTERSECTION COHOMOLOGY WITH TWISTED COEFFICIENTS OF THE CLOSURES OF THE VARIETIES XW -- 3. GLOBAL INTERSECTION COHOMOLOGY WITH TWISTED COEFFICIENTS OF THE VARIETY X̅W -- 4. REPRESENTATIONS OF WEYL GROUPS -- 5. CELLS IN WEYL GROUPS -- 6. AN INTEGRALITY THEOREM AND A DISJOINTNESS THEOREM -- 7. SOME EXCEPTIONAL GROUPS -- 8. DECOMPOSITION OF INDUCED REPRESENTATIONS -- 9. CLASSICAL GROUPS -- 10. COMPLETION OF THE PROOF OF THEOREM 4.23 -- 11. EIGENVALUES OF FROBENIUS -- 12. ON THE STRUCTURE OF LEFT CELLS -- 13. RELATIONS WITH CONJUGACY CLASSES -- 14. CONCLUDING REMARKS -- APPENDIX -- REFERENCES -- SUBJECT INDEX -- NOTATION INDEX -- Backmatter |
Record Nr. | UNINA-9910154752803321 |
Lusztig George | ||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Combinatorics of Train Tracks. (AM-125), Volume 125 / / R. C. Penner, John L. Harer |
Autore | Penner R. C. |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (233 pages) : illustrations |
Disciplina | 511/.6 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Geodesics (Mathematics)
CW complexes Combinatorial analysis |
Soggetto non controllato |
Ambient isotopy
Analytic function Axiom Brouwer fixed-point theorem CW complex Cantor set Cardinality Change of basis Coefficient Combinatorics Compactification (mathematics) Conjugacy class Connected component (graph theory) Connectivity (graph theory) Coordinate system Cotangent space Covering space Deformation theory Dehn twist Diffeomorphism Differential topology Disjoint sets Disjoint union Disk (mathematics) Eigenvalues and eigenvectors Embedding Equation Equivalence class (music) Equivalence class Equivalence relation Euclidean space Euler characteristic Explicit formula Explicit formulae (L-function) Fiber bundle Foliation Fuchsian group Geodesic curvature Geometry Harmonic function Homeomorphism Homotopy Horocycle Hyperbolic geometry Hyperbolic motion Hyperbolic space Incidence matrix Inequality (mathematics) Infimum and supremum Injective function Intersection (set theory) Intersection number (graph theory) Intersection number Interval (mathematics) Invariance of domain Invariant measure Jordan curve theorem Kähler manifold Lexicographical order Linear map Linear subspace Mapping class group Mathematical induction Monogon Natural topology Orientability Pair of pants (mathematics) Parallel curve Parametrization Parity (mathematics) Projective space Quadratic differential Scientific notation Sign (mathematics) Special case Spectral radius Standard basis Subsequence Subset Summation Support (mathematics) Symplectic geometry Symplectomorphism Tangent space Tangent vector Tangent Teichmüller space Theorem Topological space Topology Total order Train track (mathematics) Transitive relation Transpose Transversality (mathematics) Transverse measure Uniformization theorem Unit tangent bundle Unit vector Vector field |
ISBN | 1-4008-8245-1 |
Classificazione | SI 830 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface -- Acknowledgements -- Chapter 1. The Basic Theor -- Chapter 2. Combinatorial Equivalence -- Chapter 3. The Structure of ML0 -- Epilogue -- Addendum. The Action of Mapping Classes on ML0 -- Bibliography |
Record Nr. | UNINA-9910154745603321 |
Penner R. C. | ||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Elliptic partial differential equations and quasiconformal mappings in the plane [[electronic resource] /] / Kari Astala, Tadeusz Iwaniec, and Gaven Martin |
Autore | Astala Kari <1953-> |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, : Princeton University Press, c2009 |
Descrizione fisica | 1 online resource (696 p.) |
Disciplina | 515/.93 |
Altri autori (Persone) |
IwaniecTadeusz
MartinGaven |
Collana | Princeton mathematical series |
Soggetto topico |
Differential equations, Elliptic
Quasiconformal mappings |
Soggetto non controllato |
Adjoint equation
Analytic function Analytic proof Banach space Beltrami equation Boundary value problem Bounded mean oscillation Calculus of variations Cantor function Cartesian product Cauchy–Riemann equations Central limit theorem Characterization (mathematics) Complex analysis Complex plane Conformal geometry Conformal map Conjugate variables Continuous function (set theory) Coordinate space Degeneracy (mathematics) Differential equation Directional derivative Dirichlet integral Dirichlet problem Disk (mathematics) Distribution (mathematics) Elliptic operator Elliptic partial differential equation Equation Equations of motion Euler–Lagrange equation Explicit formulae (L-function) Factorization Fourier transform Fubini's theorem Geometric function theory Geometric measure theory Geometry Harmonic conjugate Harmonic function Harmonic map Harmonic measure Hilbert transform Holomorphic function Homeomorphism Hyperbolic geometry Hyperbolic trigonometry Invertible matrix Jacobian matrix and determinant Julia set Lagrangian (field theory) Laplace's equation Limit (mathematics) Linear differential equation Linear equation Linear fractional transformation Linear map Linearization Lipschitz continuity Locally integrable function Lusin's theorem Mathematical optimization Mathematics Maxima and minima Maxwell's equations Measure (mathematics) Metric space Mirror symmetry (string theory) Moduli space Modulus of continuity Monodromy theorem Monotonic function Montel's theorem Operator (physics) Operator theory Partial derivative Partial differential equation Poisson formula Polynomial Quadratic function Quasiconformal mapping Quasiconvex function Quasisymmetric function Renormalization Riemann sphere Riemann surface Riemannian geometry Riesz transform Riesz–Thorin theorem Sign (mathematics) Sobolev space Square-integrable function Support (mathematics) Theorem Two-dimensional space Uniformization theorem Upper half-plane Variable (mathematics) Weyl's lemma (Laplace equation) |
ISBN |
1-282-15727-2
9786612157271 1-4008-3011-7 |
Classificazione | SK 560 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter 1. Introduction -- Chapter 2. A Background In Conformal Geometry -- Chapter 3. The Foundations Of Quasiconformal Mappings -- Chapter 4. Complex Potentials -- Chapter 5. The Measurable Riemann Mapping Theorem: The Existence Theory Of Quasiconformal Mappings -- Chapter 6. Parameterizing General Linear Elliptic Systems -- Chapter 7. The Concept Of Ellipticity -- Chapter 8. Solving General Nonlinear First-Order Elliptic Systems -- Chapter 9. Nonlinear Riemann Mapping Theorems -- Chapter 10. Conformal Deformations And Beltrami Systems -- Chapter 11. A Quasilinear Cauchy Problem -- Chapter 12. Holomorphic Motions -- Chapter 13. Higher Integrability -- Chapter 14. Lp-Theory Of Beltrami Operators -- Chapter 15. Schauder Estimates For Beltrami Operators -- Chapter 16. Applications To Partial Differential Equations -- Chapter 17. PDEs Not Of Divergence Type: Pucci'S Conjecture -- Chapter 18. Quasiconformal Methods In Impedance Tomography: Calderón's Problem -- Chapter 19. Integral Estimates For The Jacobian -- Chapter 20. Solving The Beltrami Equation: Degenerate Elliptic Case -- Chapter 21. Aspects Of The Calculus Of Variations -- Appendix: Elements Of Sobolev Theory And Function Spaces -- Basic Notation -- Bibliography -- Index |
Record Nr. | UNINA-9910778138403321 |
Astala Kari <1953-> | ||
Princeton, : Princeton University Press, c2009 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
The ergodic theory of lattice subgroups [[electronic resource] /] / Alexander Gorodnik and Amos Nevo |
Autore | Gorodnik Alexander <1975-> |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2009 |
Descrizione fisica | 1 online resource (136 p.) |
Disciplina | 515/.48 |
Altri autori (Persone) | NevoAmos <1966-> |
Collana | Annals of mathematics studies |
Soggetto topico |
Ergodic theory
Lie groups Lattice theory Harmonic analysis Dynamics |
Soggetto non controllato |
Absolute continuity
Algebraic group Amenable group Asymptote Asymptotic analysis Asymptotic expansion Automorphism Borel set Bounded function Bounded operator Bounded set (topological vector space) Congruence subgroup Continuous function Convergence of random variables Convolution Coset Counting problem (complexity) Counting Differentiable function Dimension (vector space) Diophantine approximation Direct integral Direct product Discrete group Embedding Equidistribution theorem Ergodic theory Ergodicity Estimation Explicit formulae (L-function) Family of sets Haar measure Hilbert space Hyperbolic space Induced representation Infimum and supremum Initial condition Interpolation theorem Invariance principle (linguistics) Invariant measure Irreducible representation Isometry group Iwasawa group Lattice (group) Lie algebra Linear algebraic group Linear space (geometry) Lipschitz continuity Mass distribution Mathematical induction Maximal compact subgroup Maximal ergodic theorem Measure (mathematics) Mellin transform Metric space Monotonic function Neighbourhood (mathematics) Normal subgroup Number theory One-parameter group Operator norm Orthogonal complement P-adic number Parametrization Parity (mathematics) Pointwise convergence Pointwise Principal homogeneous space Principal series representation Probability measure Probability space Probability Rate of convergence Regular representation Representation theory Resolution of singularities Sobolev space Special case Spectral gap Spectral method Spectral theory Square (algebra) Subgroup Subsequence Subset Symmetric space Tensor algebra Tensor product Theorem Transfer principle Unit sphere Unit vector Unitary group Unitary representation Upper and lower bounds Variable (mathematics) Vector group Vector space Volume form Word metric |
ISBN |
1-282-30380-5
9786612303807 1-4008-3106-7 |
Classificazione | SI 830 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter One. Main results: Semisimple Lie groups case -- Chapter Two. Examples and applications -- Chapter Three. Definitions, preliminaries, and basic tools -- Chapter Four. Main results and an overview of the proofs -- Chapter Five. Proof of ergodic theorems for S-algebraic groups -- Chapter Six. Proof of ergodic theorems for lattice subgroups -- Chapter Seven. Volume estimates and volume regularity -- Chapter Eight. Comments and complements -- Bibliography -- Index |
Record Nr. | UNINA-9910781200803321 |
Gorodnik Alexander <1975-> | ||
Princeton, N.J., : Princeton University Press, 2009 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Existence Theorems in Partial Differential Equations. (AM-23), Volume 23 / / Dorothy L. Bernstein |
Autore | Bernstein Dorothy L. |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (245 pages) |
Disciplina | 517.38 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Differential equations, Partial
Existence theorems |
Soggetto non controllato |
0O
3N Addition Analytic function Applied mathematics Big O notation Biharmonic equation Boundary value problem C0 Calculation Cartesian coordinate system Cauchy problem Characteristic equation Closed-form expression Coefficient Computation Computational problem Constructive proof Continuous function (set theory) Continuous function Convex set Coordinate system Derivative Determination Differential equation Dirichlet problem Elliptic partial differential equation Empty set Equation Existence theorem Existential quantification Explicit formulae (L-function) Exterior (topology) Finite difference Flattening Formal scheme Fourier transform Fundamental solution Geometry Green's function Harmonic function Implicit function theorem Implicit function Improper integral Initial value problem Integral equation Interval (mathematics) Laplace transform Limit of a sequence Linear combination Linear differential equation Linear equation Mathematician Method of characteristics Nonlinear system Numerical analysis Ordinary differential equation Parameter Partial derivative Partial differential equation Pessimism Plane curve Power series Probability of success Probability Pure mathematics Radius of convergence Real number Real variable Requirement Scientific notation Second derivative Series (mathematics) Simultaneous equations Special case Terminology Theorem Theory Three-dimensional space (mathematics) Truncation error Uniform convergence Upper and lower bounds Variable (mathematics) |
ISBN | 1-4008-8222-2 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Foreword / Engstrom, H. T. -- Preface / Tompkins, C. -- Table of Contents -- Annals of Mathematics Studies -- I. Introduction -- II. The Initial Value Problem and the Problem of Cauchy for First Order Differential Equations -- III. Second Order Differential Equations -- IV. Partial Differential Equations of Order n > 2 -- Bibliography |
Record Nr. | UNINA-9910154748303321 |
Bernstein Dorothy L. | ||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Generalized Feynman Amplitudes. (AM-62), Volume 62 / / Eugene R. Speer |
Autore | Speer Eugene R. |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (233 pages) |
Disciplina | 530.14/3 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Mathematical physics
Quantum field theory |
Soggetto non controllato |
Addition
Adjoint Amplitude Analytic continuation Analytic function Antiparticle C-number Calculation Change of variables Classical electromagnetism Coefficient Commutative property Compact space Complex analysis Complex number Connectivity (graph theory) Constant term Convolution Derivative Diagram (category theory) Differentiable function Distribution (mathematics) Equation Estimation Explicit formulae (L-function) Fermion Fock space Formal power series Fourier transform Free field Gauge theory Graph theory Hilbert space Incidence matrix Interaction picture Invertible matrix Irreducibility (mathematics) Isolated singularity Lagrangian (field theory) Laurent series Mathematical induction Mathematics Momentum Monomial Multiple integral National Science Foundation Notation Parameter Path integral formulation Permutation Polynomial Power series Probability Propagator Quadratic form Quantity Quantum field theory Remainder Renormalization Requirement S-matrix Scattering amplitude Scientific notation Second quantization Several complex variables Simple extension Special case Subset Subtraction Suggestion Summation Taylor series Tensor product Theorem Theory Topological space Translational symmetry Tree (data structure) Uniform convergence Vacuum expectation value Vacuum state Vacuum Variable (mathematics) Vector field Vector potential Wick's theorem Z0 |
ISBN | 1-4008-8186-2 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Acknowledgements -- Abstract -- tables of contents -- Introductions -- CHAPTER I. Renormalization in Lagrangian Field Theory -- CHAPTER II. Definition of Generalized Amplitudes -- CHAPTER III. Analytic Renormalization -- CHAPTER IV. Summation of Feynman Amplitudes -- CONCLUSION -- APPENDIX A. Graphs -- APPENDIX B. Distributions -- APPENDIX C. The Free Field -- BIBLIOGRAPHY |
Record Nr. | UNINA-9910154752403321 |
Speer Eugene R. | ||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
The hypoelliptic Laplacian and Ray-Singer metrics [[electronic resource] /] / Jean-Michel Bismut, Gilles Lebeau |
Autore | Bismut Jean-Michel |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, : Princeton University Press, 2008 |
Descrizione fisica | 1 online resource (378 p.) |
Disciplina | 515/.7242 |
Altri autori (Persone) | LebeauGilles |
Collana | Annals of mathematics studies |
Soggetto topico |
Differential equations, Hypoelliptic
Laplacian operator Metric spaces |
Soggetto non controllato |
Alexander Grothendieck
Analytic function Asymptote Asymptotic expansion Berezin integral Bijection Brownian dynamics Brownian motion Chaos theory Chern class Classical Wiener space Clifford algebra Cohomology Combination Commutator Computation Connection form Coordinate system Cotangent bundle Covariance matrix Curvature tensor Curvature De Rham cohomology Derivative Determinant Differentiable manifold Differential operator Dirac operator Direct proof Eigenform Eigenvalues and eigenvectors Ellipse Embedding Equation Estimation Euclidean space Explicit formula Explicit formulae (L-function) Feynman–Kac formula Fiber bundle Fokker–Planck equation Formal power series Fourier series Fourier transform Fredholm determinant Function space Girsanov theorem Ground state Heat kernel Hilbert space Hodge theory Holomorphic function Holomorphic vector bundle Hypoelliptic operator Integration by parts Invertible matrix Logarithm Malliavin calculus Martingale (probability theory) Matrix calculus Mellin transform Morse theory Notation Parameter Parametrix Parity (mathematics) Polynomial Principal bundle Probabilistic method Projection (linear algebra) Rectangle Resolvent set Ricci curvature Riemann–Roch theorem Scientific notation Self-adjoint operator Self-adjoint Sign convention Smoothness Sobolev space Spectral theory Square root Stochastic calculus Stochastic process Summation Supertrace Symmetric space Tangent space Taylor series Theorem Theory Torus Trace class Translational symmetry Transversality (mathematics) Uniform convergence Variable (mathematics) Vector bundle Vector space Wave equation |
ISBN |
1-282-45837-X
9786612458378 1-4008-2906-2 |
Classificazione | SK 620 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Introduction -- Chapter 1. Elliptic Riemann-Roch-Grothendieck and flat vector bundles -- Chapter 2. The hypoelliptic Laplacian on the cotangent bundle -- Chapter 3. Hodge theory, the hypoelliptic Laplacian and its heat kernel -- Chapter 4. Hypoelliptic Laplacians and odd Chern forms -- Chapter 5. The limit as t → +∞ and b → 0 of the superconnection forms -- Chapter 6. Hypoelliptic torsion and the hypoelliptic Ray-Singer metrics -- Chapter 7. The hypoelliptic torsion forms of a vector bundle -- Chapter 8. Hypoelliptic and elliptic torsions: a comparison formula -- Chapter 9. A comparison formula for the Ray-Singer metrics -- Chapter 10. The harmonic forms for b → 0 and the formal Hodge theorem -- Chapter 11. A proof of equation (8.4.6) -- Chapter 12. A proof of equation (8.4.8) -- Chapter 13. A proof of equation (8.4.7) -- Chapter 14. The integration by parts formula -- Chapter 15. The hypoelliptic estimates -- Chapter 16. Harmonic oscillator and the J0 function -- Chapter 17. The limit of A'2φb,±H as b → 0 -- Bibliography -- Subject Index -- Index of Notation |
Record Nr. | UNINA-9910781084803321 |
Bismut Jean-Michel | ||
Princeton, : Princeton University Press, 2008 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Isoperimetric Inequalities in Mathematical Physics. (AM-27), Volume 27 / / G. Szegö, G. Polya |
Autore | Polya G. |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (296 pages) |
Disciplina | 530.151 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Isoperimetric inequalities
Mathematical physics |
Soggetto non controllato |
Approximation error
Approximation Arc (geometry) Arithmetic mean Axiom Bessel function Big O notation Biharmonic equation Boundary value problem Bounded set (topological vector space) Calculation Calculus of variations Cartesian coordinate system Coefficient Complex number Complex plane Computation Conformal map Conjecture Conservative vector field Convex curve Convex set Cylinder (geometry) Degeneracy (mathematics) Differential equation Differential geometry of surfaces Dirichlet integral Dirichlet problem Dirichlet's principle Dodecahedron Eigenfunction Eigenvalues and eigenvectors Electrostatics Elliptic integral Equation Equilateral triangle Even and odd functions Existence theorem Explicit formulae (L-function) Exterior (topology) Fourier series Function (mathematics) Gaussian curvature Geometric progression Harmonic function Homogeneous coordinates Hypotenuse Intersection (set theory) Isoperimetric inequality Isoperimetric problem Linear function Markov chain Mathematical physics Mathematical proof Mathematician Mathematics Maxima and minima Monotonic function Numerical analysis Parallelogram Parametric equation Partial derivative Partial differential equation Partial fraction decomposition Periodic function Poincaré conjecture Point at infinity Polar moment of inertia Polyhedron Polynomial Potential theory Power series Projection (linear algebra) Proportionality (mathematics) Quadratic form Quantity Rectangle Regular polygon Rhombus Riemann surface Scientific notation Semi-major and semi-minor axes Series (mathematics) Sign (mathematics) Simply connected space Special case Spheroid Stress functions Summation Symmetrization Tetrahedron Theorem Three-dimensional space (mathematics) Trigonometric functions Two-dimensional space Unit sphere Upper and lower bounds Vanish at infinity Variable (mathematics) Variational method (quantum mechanics) |
ISBN | 1-4008-8266-4 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- PREFACE -- TABLE OF CONTENTS -- CHAPTER I. DEFINITIONS, METHODS AND RESULTS -- CHAPTER II. THE PRINCIPLES OP DIRICHLET AND THOMSON -- CHAPTER III. APPLICATIONS OP THE PRINCIPLES OP DIRICHLET AND THOMSON TO ESTIMATION OP THE CAPACITY -- CHAPTER IV. CIRCULAR PLATE CONDENSER -- CHAPTER V. TORSIONAL RIGIDITY AND PRINCIPAL FREQUENCY -- CHAPTER VI. NEARLY CIRCULAR AND NEARLY SPHERICAL DOMAINS -- CHAPTER VIII. ON ELLIPSOID AND LENS -- NOTE A. SURFACE-AREA AND DIRICHLET'S INTEGRAL -- NOTE B. ON CONTINUOUS SYMMETRIZATION -- NOTE C. ON SPHERICAL SYMMETRIZATION -- NOTE D. ON A GENERALIZATION OF DIRICHLET'S INTEGRAL -- NOTE E. HEAT-CONDUCTION ON A SURFACE -- NOTE F. ON MEMBRANES AND PLATES -- NOTE G. VIRTUAL MASS AND POLARIZATION -- TABLES FOR SOME SET-FUNCTIONS OF PLANE DOMAINS -- BIBLIOGRAPHY -- LIST OF SYMBOLS |
Record Nr. | UNINA-9910154747803321 |
Polya G. | ||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|