Uniqueness of Fourier-Jacobi models: The Archimedean case

Yifeng Liu; Binyong Sun

doi:10.1016/j.jfa.2013.08.034

Uniqueness of Fourier-Jacobi models: The Archimedean case

Yifeng Liu, Binyong Sun^*

^*Corresponding author for this work

Mathematics

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

16 Scopus citations

Abstract

We prove uniqueness of Fourier-Jacobi models for general linear groups, unitary groups, symplectic groups and metaplectic groups, over an Archimedean local field.

Original language	English (US)
Pages (from-to)	3325-3344
Number of pages	20
Journal	Journal of Functional Analysis
Volume	265
Issue number	12
DOIs	https://doi.org/10.1016/j.jfa.2013.08.034
State	Published - Dec 15 2013

Funding

Y. Liu is supported by NSF grant DMS 1302000 . B. Sun is supported by NSFC Grant 11222101 .

Keywords

Classical group
Fourier-Jacobi model
Irreducible representation

ASJC Scopus subject areas

Analysis

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10.1016/j.jfa.2013.08.034

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@article{1dd8b46f833c4e5189940012676d29ff,

title = "Uniqueness of Fourier-Jacobi models: The Archimedean case",

abstract = "We prove uniqueness of Fourier-Jacobi models for general linear groups, unitary groups, symplectic groups and metaplectic groups, over an Archimedean local field.",

keywords = "Classical group, Fourier-Jacobi model, Irreducible representation",

author = "Yifeng Liu and Binyong Sun",

note = "Funding Information: Y. Liu is supported by NSF grant DMS 1302000 . B. Sun is supported by NSFC Grant 11222101 . ",

year = "2013",

month = dec,

day = "15",

doi = "10.1016/j.jfa.2013.08.034",

language = "English (US)",

volume = "265",

pages = "3325--3344",

journal = "Journal of Functional Analysis",

issn = "0022-1236",

publisher = "Academic Press Inc.",

number = "12",

}

TY - JOUR

T1 - Uniqueness of Fourier-Jacobi models

T2 - The Archimedean case

AU - Liu, Yifeng

AU - Sun, Binyong

N1 - Funding Information: Y. Liu is supported by NSF grant DMS 1302000 . B. Sun is supported by NSFC Grant 11222101 .

PY - 2013/12/15

Y1 - 2013/12/15

N2 - We prove uniqueness of Fourier-Jacobi models for general linear groups, unitary groups, symplectic groups and metaplectic groups, over an Archimedean local field.

AB - We prove uniqueness of Fourier-Jacobi models for general linear groups, unitary groups, symplectic groups and metaplectic groups, over an Archimedean local field.

KW - Classical group

KW - Fourier-Jacobi model

KW - Irreducible representation

UR - https://www.scopus.com/pages/publications/84884979884

UR - https://www.scopus.com/inward/citedby.url?scp=84884979884&partnerID=8YFLogxK

U2 - 10.1016/j.jfa.2013.08.034

DO - 10.1016/j.jfa.2013.08.034

M3 - Article

AN - SCOPUS:84884979884

SN - 0022-1236

VL - 265

SP - 3325

EP - 3344

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 12

ER -

Uniqueness of Fourier-Jacobi models: The Archimedean case

Abstract

Funding

Keywords

ASJC Scopus subject areas

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