HARDY SPACE ON THE METAPLECTIC SEMIGROUP

Authors
KOUFANY K ORSTED B
Citation
K. Koufany et B. Orsted, HARDY SPACE ON THE METAPLECTIC SEMIGROUP, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 322(2), 1996, pp. 113-116
Citations number
8
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
322
Issue
2
Year of publication
1996
Pages
113 - 116
Database
ISI
SICI code
0764-4442(1996)322:2<113:HSOTMS>2.0.ZU;2-#
Abstract
We show that the odd part of the Hardy space on the metaplectic semigr oup <(Gamma)over tilde> is isomorphic to the classical Hardy space on the tube domain Sp(2m,R)/U(2m). We also compute the corresponding Cauc hy-Szego kernel tmd decompose H-2(Sp(2m, R)/U(2m)) under the action of Mp(m, R) x Mp(m, R).