Harmonic Analysis on the Quotient Spaces of Heisenberg Groups, II

✍ Scribed by J.H. Yang

• Publisher: Elsevier Science
• Year: 1994
• Tongue: English
• Weight: 271 KB
• Volume: 49
• Category: Article
• ISSN: 0022-314X
• DOI: 10.1006/jnth.1994.1080

✦ Synopsis

This article is a continuation of a previous article by the author [Harmonic analysis on the quotient spaces of Heisenberg groups, Nagoya Math. J. 123 (1991), 103-117]. In this article, we construct an orthonormal basis of the irreducible invariant component (H_{\Omega}^{(i)}\left[\begin{array}{c}A \ 0\end{array}\right]) of the Hilbert space (L^{2}\left(H_{R}^{1 g, h)} \backslash H_{R}^{(g, h)}\right)) in the previous article and also construct a nonholomorphic modular form of half integral weight using the Hermite functions. 1994 Academic Press, ncc.