Dept. Math, Hokkaido Univ. EPrints Server

Rankin-Cohen-Ibukiyama operators for holomorphic automorphic forms on type I symmetric domains

BAN, Katsuma Rankin-Cohen-Ibukiyama operators for holomorphic automorphic forms on type I symmetric domains. In: 表現論シンポジウム, 2006/11/14-16.

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14 November 2006: 表現論シンポジウム

Abstract

Rankin-Cohen operators are generalized to the operators for holomorphic automorphic forms on Siegel upper half space by Ibukiyama. They are described by using pluri-harmonic polynomials. In this talk, we extend this descriptoin to the operators for holomorphic automorphic forms on type I symmetric domains, which are realized as the Siegel domains of the second kind.

Item Type:Conference or Workshop Item (UNSPECIFIED)
Subjects:16-xx ASSOCIATIVE RINGS AND ALGEBRAS
ID Code:1870