Metaplectic Groups and Segal Algebras
These notes give an account of recent work in harmonic analysis dealing with the analytical foundations of A. Weil's theory of metaplectic groups. It is shown that Weil's main theorem holds for a class of functions (a certain Segal algebra) larger than that of the Schwartz-Bruhat functions...
Uloženo v:
| Hlavní autor: | |
|---|---|
| Médium: | Livre numérique |
| Jazyk: | Anglais |
| Vydáno: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Edice: | Lecture notes in mathematics
1382 |
| Témata: | |
| On-line přístup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Poznámka: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Metaplectic groups and Segal algebras, Hans Reiter, 1989, Berlin, Springer-Verlag, 1 volume (XI- 126 pages), Lecture notes in mathematics, 0-387-51417-1 • Metaplectic Groups and Segal Algebras, Texte imprimé, 9783662192009 |
Obsah:
- Preliminaries from harmonic analysis and group theory
- Segal algebras; the Segal algebra G 1 (G)
- Weil s unitary operators and the Segal algebra G 1 (G)
- Weil s group of operators and related groups
- Vector spaces and quadratic forms ever local fields
- Properties of certain quadratic forms
- Weil operators for vector spaces over local fields
- The metaplectic group (local case); Segal continuity
- The metaplectic group and Segal continuity in the adelic case
- Weil s theorem 6.