A Paley-Wiener theorem for Harish-Chandra modules

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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.

Original languageEnglish
JournalCambridge journal of mathematics
Volume10
Issue number3
Pages (from-to)689-742
Number of pages54
ISSN2168-0930
DOIs
Publication statusPublished - 2022

    Research areas

  • Minimal globalization, Helgason conjecture, INVARIANT DIFFERENTIAL-OPERATORS, SYMMETRIC-SPACES, REPRESENTATIONS, EXTENSIONS, IRREDUCIBILITY, GEOMETRY, SERIES

ID: 343342799