Proceedings of the American Mathematical Society

Author(s): Cho-Ho Chu; Titus Hilberdink; John Howroyd
Journal: Proc. Amer. Math. Soc. 129 (2001), 229-235.
MSC (1991): Primary 46G10, 45E10, 43A05, 43A25, 31C05
Posted: March 29, 2000
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Let $\sigma$ be a positive matrix-valued measure on a locally compact abelian group

such that $\sigma(G)$ is the identity matrix. We give a necessary and sufficient condition on $\sigma$ for the absence of a bounded non-constant matrix-valued function

satisfying the convolution equation $f *\sigma = f$ . This extends Choquet and Deny's theorem for real-valued functions on

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 46G10, 45E10, 43A05, 43A25, 31C05

Cho-Ho Chu
Affiliation: Goldsmiths College, University of London, London SE14 6NW, England
Email: maa01chc@gold.ac.uk

Titus Hilberdink
Affiliation: Goldsmiths College, University of London, London SE14 6NW, England
Email: map01twh@gold.ac.uk

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