1.

Record Nr.

UNINA9910788845303321

Autore

Gon Yasuro

Titolo

Generalized Whittaker functions on SU(2,2) with respect to the Siegel parabolic subgroup / / Yasuro Gon

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , [2002]

©2002

ISBN

1-4704-0331-5

Descrizione fisica

1 online resource (130 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 738

Disciplina

510 s

512/.73

Soggetti

Coulomb functions

Forms, Modular

Representations of groups

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"January 2002."

"Volume 155, number 738 (fourth of 5 numbers)."

Nota di bibliografia

Includes bibliographical references (pages 115-116).

Nota di contenuto

""Contents""; ""Chapter 1. Introduction""; ""1. Introduction""; ""Chapter 2. Generalized Whittaker functions and representation theory of SU(2,2)""; ""2. Definition of the generalized Whittaker functions""; ""3. Structure theory for SU(2,2) and its Lie algebra""; ""4. Representations of K""; ""5. Irreducible SU(Î?)-modules""; ""6. Explicit description of Whittaker functions""; ""7. Radial part of the shift operators""; ""Chapter 3. Generalized Whittaker functions for P[sub(J)] principal series representations""; ""8. Generalized Whittaker functions for P[sub(J)]-principal series""

""Chapter 4. Generalized Whittaker functions for the discrete series representations""""9. Generalized Whittaker functions for the discrete series representations""; ""10. Generalized Whittaker functions for the holomorphic discrete series representations""; ""11. Generalized Whittaker functions for the large discrete series representations""; ""12. Generalized Whittaker functions for the middle discrete representations""; ""13. Generalized Whittaker functions for the middle discrete series associated with definite H[sub(Î?)]""



""14. Generalized Whittaker functions for the middle discrete series associated with indefinite H[sub(Î?)]""""Bibliography""