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On Liu's analyticity criterion for semigroups

โœ Scribed by Shmuel Kantorovitz

Book ID
110561095
Publisher
Springer
Year
1996
Tongue
English
Weight
163 KB
Volume
53
Category
Article
ISSN
0037-1912

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โœ Hiroshi Kunita ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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