Distinguished representations and
quadratic base change for
Abstract: Let be a quadratic extension of number fields. Suppose that every real place of splits in and let be the unitary group in 3 variables. Suppose that is an automorphic cuspidal representation of . We prove that there is a form in the space of such that the integral of over is non zero. Our proof is based on earlier results and the notion, discussed in this paper, of Shalika germs for certain Kloosterman integrals.
Affiliation: Department of Mathematics, Columbia University, New York, New York 10027
Affiliation: Department of Mathematics, The University of Iowa, Iowa City, Iowa 52242
Received by editor(s): November 20, 1994
Additional Notes: Partially supported by NSF grant DMS-91-01637
Article copyright: © Copyright 1996 American Mathematical Society