A Paley-Wiener theorem for Harish-Chandra modules

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Standard

A Paley-Wiener theorem for Harish-Chandra modules. / Gimperlein, Heiko; Kroetz, Bernhard; Kuit, Job; Schlichtkrull, Henrik.

I: Cambridge journal of mathematics, Bind 10, Nr. 3, 2022, s. 689-742.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Gimperlein, H, Kroetz, B, Kuit, J & Schlichtkrull, H 2022, 'A Paley-Wiener theorem for Harish-Chandra modules', Cambridge journal of mathematics, bind 10, nr. 3, s. 689-742. https://doi.org/10.4310/CJM.2022.v10.n3.a3

APA

Gimperlein, H., Kroetz, B., Kuit, J., & Schlichtkrull, H. (2022). A Paley-Wiener theorem for Harish-Chandra modules. Cambridge journal of mathematics, 10(3), 689-742. https://doi.org/10.4310/CJM.2022.v10.n3.a3

Vancouver

Gimperlein H, Kroetz B, Kuit J, Schlichtkrull H. A Paley-Wiener theorem for Harish-Chandra modules. Cambridge journal of mathematics. 2022;10(3):689-742. https://doi.org/10.4310/CJM.2022.v10.n3.a3

Author

Gimperlein, Heiko ; Kroetz, Bernhard ; Kuit, Job ; Schlichtkrull, Henrik. / A Paley-Wiener theorem for Harish-Chandra modules. I: Cambridge journal of mathematics. 2022 ; Bind 10, Nr. 3. s. 689-742.

Bibtex

@article{d3855eee075b4a969c7bfefbc57344ba,
title = "A Paley-Wiener theorem for Harish-Chandra modules",
abstract = "We formulate and prove a Paley-Wiener theorem for Harish-Chan-dra modules for a real reductive group. As a corollary we obtain a new and elementary proof of the Helgason conjecture.",
keywords = "Minimal globalization, Helgason conjecture, INVARIANT DIFFERENTIAL-OPERATORS, SYMMETRIC-SPACES, REPRESENTATIONS, EXTENSIONS, IRREDUCIBILITY, GEOMETRY, SERIES",
author = "Heiko Gimperlein and Bernhard Kroetz and Job Kuit and Henrik Schlichtkrull",
year = "2022",
doi = "10.4310/CJM.2022.v10.n3.a3",
language = "English",
volume = "10",
pages = "689--742",
journal = "Cambridge journal of mathematics",
issn = "2168-0930",
publisher = "INT PRESS BOSTON, INC",
number = "3",

}

RIS

TY - JOUR

T1 - A Paley-Wiener theorem for Harish-Chandra modules

AU - Gimperlein, Heiko

AU - Kroetz, Bernhard

AU - Kuit, Job

AU - Schlichtkrull, Henrik

PY - 2022

Y1 - 2022

N2 - We formulate and prove a Paley-Wiener theorem for Harish-Chan-dra modules for a real reductive group. As a corollary we obtain a new and elementary proof of the Helgason conjecture.

AB - We formulate and prove a Paley-Wiener theorem for Harish-Chan-dra modules for a real reductive group. As a corollary we obtain a new and elementary proof of the Helgason conjecture.

KW - Minimal globalization

KW - Helgason conjecture

KW - INVARIANT DIFFERENTIAL-OPERATORS

KW - SYMMETRIC-SPACES

KW - REPRESENTATIONS

KW - EXTENSIONS

KW - IRREDUCIBILITY

KW - GEOMETRY

KW - SERIES

U2 - 10.4310/CJM.2022.v10.n3.a3

DO - 10.4310/CJM.2022.v10.n3.a3

M3 - Journal article

VL - 10

SP - 689

EP - 742

JO - Cambridge journal of mathematics

JF - Cambridge journal of mathematics

SN - 2168-0930

IS - 3

ER -

ID: 343342799