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- Title
Extension of Whittaker functions and test vectors.
- Authors
Kurinczuk, R.; Matringe, N.
- Abstract
We show that certain products of Whittaker functions and Schwartz functions on a general linear group extend to Whittaker functions on a larger general linear group. This generalizes results of Cogdell and Piatetski-Shapiro (Representation Theory, Number Theory, and Invariant Theory. Progress in Mathematics, Birkhäuser/Springer, Cham, <xref>2017</xref>) and Jacquet et al. (Am J Math 105(2):367-464, <xref>1983</xref>). As a consequence, we prove that the Rankin-Selberg L-factor of the product of a discrete series representation and the Zelevinsky dual of a discrete series representation is given by a single Rankin-Selberg integral.
- Subjects
WHITTAKER functions; SCHWARTZ distributions; DISCRETE groups
- Publication
Research in Number Theory, 2018, Vol 4, Issue 3, p1
- ISSN
2522-0160
- Publication type
Article
- DOI
10.1007/s40993-018-0124-z