For holomorphic modular forms on tube domains, there are two types of known Fourier expansions, i.e. the classical Fourier expansion and the Fourier-Jacobi expansion. Either of them is along a maximal parabolic subgroup. In this paper, we discuss Fourier expansion of holomorphic modular forms on tube domains of classical type along the minimal parabolic subgroup. We also relate our Fourier expansion to the two known ones in terms of Fourier coefficients and theta series appearing in these expansions.
|Number of pages||27|
|Journal||Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg|
|Publication status||Published - 2004 Dec 1|
- Fourier expansion
- Generalized Whittaker function
- Tube domains
ASJC Scopus subject areas