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

Dihua Jiang; David Soudry

doi:10.2140/pjm.2007.229.381

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

Dihua Jiang
, David Soudry

School of Mathematics

Research output: Contribution to journal › Article › peer-review

21 Scopus citations

Abstract

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

Original language	English (US)
Pages (from-to)	381-388
Number of pages	8
Journal	Pacific Journal of Mathematics
Volume	229
Issue number	2
DOIs	https://doi.org/10.2140/pjm.2007.229.381
State	Published - Feb 2007

Keywords

Automorphic forms
Multiplicity-one theorem

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10.2140/pjm.2007.229.381

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title = "The multiplicity-one theorem for generic automorphic forms of GSp(4)",

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

keywords = "Automorphic forms, Multiplicity-one theorem",

author = "Dihua Jiang and David Soudry",

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doi = "10.2140/pjm.2007.229.381",

language = "English (US)",

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AU - Soudry, David

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

KW - Automorphic forms

KW - Multiplicity-one theorem

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UR - https://www.scopus.com/pages/publications/70349635835#tab=citedBy

U2 - 10.2140/pjm.2007.229.381

DO - 10.2140/pjm.2007.229.381

M3 - Article

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JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

IS - 2

ER -

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

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Keywords

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