Integral representation of invariant functions

Authors
Hinssen, J Janssen, K
Citation
J. Hinssen et K. Janssen, Integral representation of invariant functions, POTENT ANAL, 10(1), 1999, pp. 27-53
Citations number
20
Categorie Soggetti
Mathematics
Journal title
POTENTIAL ANALYSIS
ISSN journal
09262601 → ACNP
Volume
10
Issue
1
Year of publication
1999
Pages
27 - 53
Database
ISI
SICI code
0926-2601(199902)10:1<27:IROIF>2.0.ZU;2-N
Abstract
We characterize those positive functions which are invariant for a bounded kernel, and which have a Choquet-type integral representation. Such a repre sentation relies on the wellknown Choquet-type integral representation of m easures which are invariant for a kernel. We apply our results to convoluti on kernels with spread-out measures on second countable locally compact Abe lian groups.