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Heat Eisenstein Series on \mathrm{SL}_{n}(C) / / Jay Jorgenson, Serge Lang
| Heat Eisenstein Series on \mathrm{SL}_{n}(C) / / Jay Jorgenson, Serge Lang |
| Autore | Jorgenson Jay |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2009 |
| Descrizione fisica | 1 online resource (146 p.) |
| Disciplina | 515/.353 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Heat equation
Eisenstein series Decomposition (Mathematics) Function spaces |
| ISBN | 1-4704-0560-1 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""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"" |
| Altri titoli varianti | Heat Eisenstein series on SLn(C) |
| Record Nr. | UNINA-9910788856103321 |
Jorgenson Jay
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Heat Eisenstein Series on \mathrm{SL}_{n}(C) / / Jay Jorgenson, Serge Lang
| Heat Eisenstein Series on \mathrm{SL}_{n}(C) / / Jay Jorgenson, Serge Lang |
| Autore | Jorgenson Jay |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2009 |
| Descrizione fisica | 1 online resource (146 p.) |
| Disciplina | 515/.353 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Heat equation
Eisenstein series Decomposition (Mathematics) Function spaces |
| ISBN | 1-4704-0560-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""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"" |
| Altri titoli varianti | Heat Eisenstein series on SLn(C) |
| Record Nr. | UNINA-9910819082203321 |
|
Jorgenson Jay
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||