An explicit integral representation of Siegel-Whittaker functions on Sp(2,R) for the large discrete series representations
Yasuro Gon, Takayuki Oda
TL;DR
This paper derives a new explicit integral formula for Siegel-Whittaker functions on Sp(2,R) specifically for large discrete series representations, providing an alternative to existing expressions.
Contribution
It introduces a novel integral representation of Siegel-Whittaker functions on Sp(2,R) for large discrete series, distinct from Miyazaki's previous work.
Findings
New integral expression for Siegel-Whittaker functions
Alternative to Miyazaki's integral formula
Enhances understanding of representation theory on Sp(2,R)
Abstract
We obtain an explicit integral representation of Siegel-Whittaker functions on Sp(2,R) for the large discrete series representations. We have another integral expression different from that of Miyazaki [7].
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Algebra and Geometry · Mathematical Analysis and Transform Methods · Spectral Theory in Mathematical Physics