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VOL. 26 | 2000 Hypergeometric Systems and Radon Transforms for Hermitian Symmetric Spaces
Toshiyuki Tanisaki

Editor(s) Toshiyuki Kobayashi, Masaki Kashiwara, Toshihiko Matsuki, Kyo Nishiyama, Toshio Oshima

Abstract

Generalizing the Gelfand hypergeometric system on the Grassmann manifold we introduce certain differential equations on compact Hermitian symmetric spaces and investigate their properties. Especially, we give a criterion for their holonomicity, and show the existence of integral representations of their solutions. We also study properties of certain Radon transforms.

Information

Published: 1 January 2000
First available in Project Euclid: 20 August 2018

zbMATH: 0959.33006
MathSciNet: MR1770723

Digital Object Identifier: 10.2969/aspm/02610235

Rights: Copyright © 2000 Mathematical Society of Japan

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