Vol. 229, No. 2, 2007

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The multiplicity-one theorem for generic automorphic forms of GSp(4)

Dihua Jiang and David Soudry

Vol. 229 (2007), No. 2, 381–388
Abstract

We prove the multiplicity-one theorem for irreducible, globally generic, cuspidal, automorphic representations of GSp4(𝔸) occurring in the space of cuspidal automorphic functions on GSp4(𝔸), where 𝔸 is the ring of adeles of a totally real number field k.

Keywords
multiplicity-one theorem, automorphic forms
Mathematical Subject Classification 2000
Primary: 11E70, 11E72
Secondary: 11E12
Milestones
Received: 2 August 2006
Accepted: 14 September 2006
Published: 1 February 2007
Authors
Dihua Jiang
School of Mathematics
University of Minnesota
206 Church Street S.E.
Minneapolis, MN 55455
United States
www.math.umn.edu/~dhjiang
David Soudry
School of Mathematical Sciences
Tel Aviv University
Tel Aviv 69978
Israel