Heat Eisenstein Series on \mathrm{SL}_{n}(C) /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Jorgenson, Jay (Autor), Lang, Serge (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, 2009.
Colección:Memoirs of the American Mathematical Society ; no. 946.
Temas:
Heat equation.
Eisenstein series.
Decomposition (Mathematics)
Function spaces.
Équation de la chaleur.
Séries d'Eisenstein.
Décomposition (Mathématiques)
Espaces fonctionnels.
Eisenstein series
Function spaces
Heat equation
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Contents
  • Acknowledgements
  • Introduction
  • Notation and Terminology
  • Chapter 1. Estimates on SL[sub(n)] Parabolics
  • 1. The hermitian norm on SL[sub(n)] and Siegel sets
  • 2. Volume and lattice point estimates
  • 3. Estimates of A-projections
  • 4. Standard reduced parabolics
  • 5. Characters on parabolics
  • 6. Estimates of Ap-projections
  • 7. Parabolic integral formulas
  • Chapter 2. Eisenstein Series
  • 1. The character Eisenstein series
  • 2. Twists of character Eisenstein series
  • 3. Two-character Eisenstein series
  • 4. The Gauss space
  • ""5. The parabolic Eisenstein integration formula""""Chapter 3. Adjointness and Inversion Relations""; ""1. Adjointness formulas and F-cuspidality""; ""2. Adjointness and initial conditions formulas""; ""3. P-cuspidality and heat Eisenstein series""; ""4. The family of anticuspidal operators J[sub(P, Î?, e, t)]""; ""Chapter 4. Applications of the Heat Equation""; ""1. Parabolics and the (a, n)-characters""; ""2. Direct image of Casimir on parabolics""; ""3. The differential equation for E[sub(P, Î?, K)] and E[sup(#)][sub(P, K)]""
  • ""4. Convolution of Tr[sub(Î?)](K[sub(X)]) and the Eisenstein series""""5. The P-anticuspidal semigroup property""; ""6. The P-anticuspidal operator J[sub(P, Î?Ï?p,)] and the conjectured spectral expansion""; ""7. Onward""; ""Appendix. The Heat Kernel""; ""1. Dodziuk's uniqueness theorem""; ""2. The fundamental solution and the heat kernel""; ""3. Properties of the heat kernel""; ""4. Compact manifolds""; ""Bibliography""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""J""; ""L""; ""M""; ""N""; ""O""; ""P""; ""R""; ""S""; ""T""; ""U""; ""V""

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