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SomeL2properties of semigroups of measures on Lie groups

✍ Scribed by David Applebaum


Publisher
Springer
Year
2008
Tongue
English
Weight
345 KB
Volume
79
Category
Article
ISSN
0037-1912

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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