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Maximal semigroups and controllability in products of Lie groups

โœ Scribed by Joachim Hilgert


Book ID
112504462
Publisher
Springer
Year
1987
Tongue
English
Weight
395 KB
Volume
49
Category
Article
ISSN
0003-889X

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Analyticity and Injectivity of Convoluti
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