The heat kernel and theta inversion on SL (C)
The present monograph develops the fundamental ideas and results surrounding heat kernels, spectral theory, and regularized traces associated to the full modular group acting on SL2(C). The authors begin with the realization of the heat kernel on SL2(C) through spherical transform, from which one ma...
Gardado en:
| Auteurs principaux: | , |
|---|---|
| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| Edición: | 1st ed. 2008. |
| Series: | Springer Monographs in Mathematics
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| Sujets: | |
| Acceso en liña: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
L'impression du document génère 308 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • The heat kernel and theta inversion on SL (C), Jay Jorgenson, Serge Lang, 2008, New York, Springer, 1 vol. (X-319 p.), Springer Monographs in Mathematics, 0-387-38031-0 • The Heat Kernel and Theta Inversion on SL2(C), Texte imprimé, 9780387564050 • The Heat Kernel and Theta Inversion on SL2(C), Texte imprimé, 9781441922823 |
Table des matières:
- Gaussians, Spherical Inversion, and the Heat Kernel
- Spherical Inversion on SL2(C)
- The Heat Gaussian and Heat Kernel
- QED, LEG, Transpose, and Casimir
- Enter ?: The General Trace Formula
- Convergence and Divergence of the Selberg Trace
- The Cuspidal and Noncuspidal Traces
- The Heat Kernel on ?\G/K
- The Fundamental Domain
- ?-Periodization of the Heat Kernel
- Heat Kernel Convolution on (?\G/K)
- Fourier-Eisenstein Eigenfunction Expansions
- The Tube Domain for ??
- The ?/U-Fourier Expansion of Eisenstein Series
- Adjointness Formula and the ?\G-Eigenfunction Expansion
- The Eisenstein-Cuspidal Affair
- The Eisenstein Y-Asymptotics
- The Cuspidal Trace Y-Asymptotics
- Analytic Evaluations