AN EXPLICIT INTEGRAL-REPRESENTATION OF WHITTAKER FUNCTIONS ON SP(2/R) FOR THE LARGE DISCRETE-SERIES REPRESENTATIONS

被引：25

作者：

ODA, T

机构：

[1] Department of Mathematical Sciences, University of Tokyo, Tokyo

来源：

TOHOKU MATHEMATICAL JOURNAL | 1994年 / 46卷 / 02期

关键词：

D O I：

10.2748/tmj/1178225761

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider Whittaker model of the discrete series representations of the real symplectic group of degree 2. We obtain an integral formula for the radial part of the extreme vector of the minimal K-type of the Whittaker model.

引用

页码：261 / 279

页数：19

共 11 条

[1]

HECHT H, 1975, INVENT MATH, V31, P129

[2]

JACQUET H, LECTURE NOTES MATH, V114

[3] WHITTAKER VECTORS AND REPRESENTATION THEORY [J].

KOSTANT, B .

INVENTIONES MATHEMATICAE, 1978, 48 (02) :101-184

[4]

MATSUMOTO H, IN PRESS COMPOSITION

[5]

Schmid W., 1970, RICE U STUD, V56, P99

[6] MULTIPLICITY ONE THEOREM FOR GLN [J].

SHALIKA, JA .

ANNALS OF MATHEMATICS, 1974, 100 (01) :171-193

[7]

VOGAN D, 1978, INVENT MATH, V49, P75

[8]

Wallach N, 1984, LECT NOTES MATH, V1024, P287

[9]

Whittaker E.T., 1965, COURSE MODERN ANAL, V2nd

[10] EMBEDDINGS OF DISCRETE-SERIES INTO INDUCED REPRESENTATIONS OF SEMISIMPLE LIE-GROUPS .2. GENERALIZED WHITTAKER MODELS FOR SU(2, 2) [J].

YAMASHITA, H .

JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 1991, 31 (02) :543-571

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