REPRODUCING KERNELS AND COMPOSITION SERIES FOR SPACES OF VECTOR-VALUED HOLOMORPHIC-FUNCTIONS

Authors
ORSTED B ZHANG G
Citation
B. Orsted et G. Zhang, REPRODUCING KERNELS AND COMPOSITION SERIES FOR SPACES OF VECTOR-VALUED HOLOMORPHIC-FUNCTIONS, Pacific journal of mathematics, 171(2), 1995, pp. 493-510
Citations number
21
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Pacific journal of mathematics → ACNP
ISSN journal
00308730
Volume
171
Issue
2
Year of publication
1995
Pages
493 - 510
Database
ISI
SICI code
0030-8730(1995)171:2<493:RKACSF>2.0.ZU;2-D
Abstract
We calculate the norm of each K-type in a vector-valued Hilbert space of holomorphic functions on a tube domain of type I. As a consequence we get composition series of the analytic continuation of certain holo morphic discrete series and an expansion relative to K of the matrix-v alued reproducing kernel.