A duality relation for certain triple products of automorphic forms (Q1936810)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A duality relation for certain triple products of automorphic forms |
scientific article; zbMATH DE number 6135111
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A duality relation for certain triple products of automorphic forms |
scientific article; zbMATH DE number 6135111 |
Statements
A duality relation for certain triple products of automorphic forms (English)
0 references
7 February 2013
0 references
In this paper, a Poisson-type summation formula for weight \(2k+1/2\) (\(k \in \mathbb N_0\)) is proved. The weights in the formula can be expressed as triple products of theta products and Maaß forms. The analogue of the Fourier transform in the summation formula is played by the Wilson transform of type II which was introduced by \textit{W. Groenevelt} [Int. Math. Res. Not. 2003, No. 52, 2779--2817 (2003; Zbl 1079.33005)]. The methods of the proof involve spectral theory and make frequent use of geodesic polar coordinates.
0 references
Poisson summation formula
0 references
Maass cusp forms
0 references
spectral decomposition
0 references
Wilson function transform
0 references
0 references
