A Paley-Wiener theorem for Harish-Chandra modules
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A Paley-Wiener theorem for Harish-Chandra modules. / Gimperlein, Heiko; Kroetz, Bernhard; Kuit, Job; Schlichtkrull, Henrik.
In: Cambridge journal of mathematics, Vol. 10, No. 3, 2022, p. 689-742.Research output: Contribution to journal › Journal article › Research › peer-review
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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