03158nam 2200613 450 991078884530332120170918220737.01-4704-0331-5(CKB)3360000000464922(EBL)3114551(SSID)ssj0000973573(PQKBManifestationID)11516433(PQKBTitleCode)TC0000973573(PQKBWorkID)10959885(PQKB)11069646(MiAaPQ)EBC3114551(RPAM)12501774(PPN)195416244(EXLCZ)99336000000046492220010814h20022002 uy| 0engur|n|---|||||txtccrGeneralized Whittaker functions on SU(2,2) with respect to the Siegel parabolic subgroup /Yasuro GonProvidence, Rhode Island :American Mathematical Society,[2002]©20021 online resource (130 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 738"January 2002.""Volume 155, number 738 (fourth of 5 numbers)."0-8218-2763-4 Includes bibliographical references (pages 115-116).""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""Memoirs of the American Mathematical Society ;no. 738.Coulomb functionsForms, ModularRepresentations of groupsCoulomb functions.Forms, Modular.Representations of groups.510 s512/.73Gon Yasuro1566855MiAaPQMiAaPQMiAaPQBOOK9910788845303321Generalized Whittaker functions on SU(2,2) with respect to the Siegel parabolic subgroup3837781UNINA