The plancherel theorem for invariant Hilbert spaces

Authors
Hilgert, J Krotz, B
Citation
J. Hilgert et B. Krotz, The plancherel theorem for invariant Hilbert spaces, MATH Z, 237(1), 2001, pp. 61-83
Citations number
37
Categorie Soggetti
Mathematics
Journal title
MATHEMATISCHE ZEITSCHRIFT
ISSN journal
00255874 → ACNP
Volume
237
Issue
1
Year of publication
2001
Pages
61 - 83
Database
ISI
SICI code
0025-5874(200105)237:1<61:TPTFIH>2.0.ZU;2-A
Abstract
We calculate explicitly the Plancherel measure for certain Hilbert spaces o f holomorphic functions naturally associated to affine symmetric spaces wit h holomorphic discrete series.