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JMB Journal of Microbiolog and Biotechnology

OPEN ACCESS eISSN 0454-8124
pISSN 1225-6951
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Original Article

Kyungpook Mathematical Journal 2013; 53(1): 49-86

Published online March 23, 2013

Copyright © Kyungpook Mathematical Journal.

A Note on Maass-Jacobi Forms II

Jae-Hyun Yang

Department of Mathematics, Inha University, Incheon 402-751, Korea

Received: March 23, 2013; Revised: March 23, 2013; Accepted: March 23, 2013

Abstract

This article is a continuation of the paper [21]. In this paper we deal with Maass-Jacobi forms on the Siegel-Jacobi space $BH imes BC^m$, where $BH$ denotes the Poincaré upper half plane and $m$ is any positive integer.

Keywords: Maass-Jacobi forms, invariant differential operators, fundamental domains, Casimir operators, skew-holomorphic Jacobi forms, covariant differential operators