Eigenfunctions of the Weil representation

of unitary groups of one variable

Author:
Tonghai Yang

Journal:
Trans. Amer. Math. Soc. **350** (1998), 2393-2407

MSC (1991):
Primary 11F27, 11E45

DOI:
https://doi.org/10.1090/S0002-9947-98-01915-1

MathSciNet review:
1407714

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Abstract | References | Similar Articles | Additional Information

Abstract: In this paper, we construct explicit eigenfunctions of the local Weil representation on unitary groups of one variable in the -adic case when is odd. The idea is to use the lattice model, and the results will be used to compute special values of certain Hecke -functions in separate papers. We also recover Moen's results on when a local theta lifting from to itself does not vanish.

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Additional Information

**Tonghai Yang**

Affiliation:
Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109

Email:
thyang@math.lsa.umich.edu

DOI:
https://doi.org/10.1090/S0002-9947-98-01915-1

Keywords:
Eigenfunction,
lattice model,
unitary group

Received by editor(s):
November 7, 1995

Received by editor(s) in revised form:
July 3, 1996

Additional Notes:
Partially supported by NSF grant DMS-9304580

Article copyright:
© Copyright 1998
Americal Mathematical Society