The Generalized Whittaker Functions for $Sp(2, \Bbb R)$ and the Gamma Factor of the Andrianov $L$-function
スポンサーリンク
概要
- 論文の詳細を見る
We study the archimedean generalized Whittaker functions for the generalized principal series and the large discrete series of the real symplectic group of degree 2. Using gradient type differential operators, which was introduced by Schmid, we give a system of differential equations which is satisfied by a Whittaker function. We study this system, and give the Mellin transform of its solution. We apply the result to a study of Andrianov's spinor $L$-function for a non-holomorphic Siegel modular form via Rankin-Selberg integral with an explicitly described archimedean factor.
- 東京大学の論文
著者
-
Miyazaki Takuya
Department Of Mathematics Tokyo Metropolitan University
-
Miyazaki Takuya
Department Of Hematology Tokyo Women's Medical University
関連論文
- Serum HO-1 is useful to make differential diagnosis of secondary hemophagocytic syndrome from other similar hematological conditions
- Expression of heme oxygenase-1 in human leukemic cells and its regulation by transcriptional repressor Bach1
- Correction:Principal series Whittaker functions on Sp(2;R), II,(Tohoku Math. J. 50 (1998), 243--260)
- Principal series Whittaker functions on Sp(2; R), II
- Discrimination of redundant auditory stimuli in pigeons (視覚・聴覚・音声)
- On Siegel-Eisenstein series attached to certain cohomological representations
- Phase II study of CHOP-GR therapy in diffuse large B-cell lymphoma
- The Generalized Whittaker Functions for $Sp(2, \Bbb R)$ and the Gamma Factor of the Andrianov $L$-function