On the supports of Gauss measures on algebraic groups
Published online by Cambridge University Press: 24 October 2008
Extract
For any locally compact topological group G let M(G) denote the topological semigroup of all probability (Borel) measures on G, furnished with the weak topology and with convolution as the multiplication. A Gauss semigroup on G is a homomorphism t→ μt of the strictly positive reals (under addition) into M(G) such that
(i) no μt is a point mesaure,
(ii) for each neighbourhood V of 1 in G we have
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 96 , Issue 3 , November 1984 , pp. 437 - 445
- Copyright
- Copyright © Cambridge Philosophical Society 1984
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