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Convolution semigroups and resolvent families of measures on hypergroups

✍ Scribed by Walter R. Bloom; Herbert Heyer


Publisher
Springer-Verlag
Year
1985
Tongue
French
Weight
1015 KB
Volume
188
Category
Article
ISSN
0025-5874

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Analyticity and Injectivity of Convoluti
✍ Hiroshi Kunita πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 165 KB

We prove that all continuous convolution semigroups of probability distributions on an arbitrary Lie group are injective. Let [+ t , t>0] be a continuous convolution semigroup of probability distributions on a Lie group G. For each t>0, we set T t f (x)= G f (xy) + t (dy) for a bounded continuous fu