| |
|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNINA9910819082203321 |
|
|
Autore |
Jorgenson Jay |
|
|
Titolo |
Heat Eisenstein Series on \mathrm{SL}_{n}(C) / / Jay Jorgenson, Serge Lang |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Providence, Rhode Island : , : American Mathematical Society, , 2009 |
|
©2009 |
|
|
|
|
|
|
|
|
|
ISBN |
|
|
|
|
|
|
Descrizione fisica |
|
1 online resource (146 p.) |
|
|
|
|
|
|
Collana |
|
Memoirs of the American Mathematical Society, , 0065-9266 ; ; Number 946 |
|
|
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
Heat equation |
Eisenstein series |
Decomposition (Mathematics) |
Function spaces |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Note generali |
|
"Volume 201, number 946 (end of volume)." |
|
|
|
|
|
|
Nota di bibliografia |
|
Includes bibliographical references and index. |
|
|
|
|
|
|
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"" |
|
|
|
|
|
| |