Abstract
AbstractWe investigate the radial part of the matrix coefficients with minimal K-types of the large discrete series representations of Sp(2; R). They satisfy certain difference-differential equations derived from Schmid operators. This system is reduced to a holonomic system of rank 4, which is finally found to be equivalent to higher-order hypergeometric series in the sense of Appell and Kampé de Fériet.
Publisher
Cambridge University Press (CUP)
Reference17 articles.
1. Root systems and hypergeometric functions, III;Opdam;Compos. Math.,1988
2. On the realization of the discrete series of a semisimple Lie group;Schmid;Rice Univ. Studies,1970
3. Lectures on hypergeometric and spherical functions;Heckman,1992
4. Représentation intégrale de certaines séries de fonctions sphériques d'un système de racines BC
5. Principal series Whittaker functions on ${\rm Sp}(2;{\bf R})$, II
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献