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WROCŁAW UNIVERSITY
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Contents of PMS, Vol. 5, Fasc. 2,
pages 251 - 263
 

MULTIPLY c -DECOMPOSABLE PROBABILITY MEASURES ON BANACH SPACES

Nguyen Van Thu

Abstract: In the present paper we define a -times c -decomposable (0 < c < 1,a > 0) probability measures on a Banach space X in such a way that they form a continuous subclassification of infinitely divisible measures into decreasing classes L (X) c,a each of which is closed under convolution, shifts, changes of scales and passages to weak limits. Moreover, every L (X) c,a admits a universal element (in a generalized Doeblin’s sense).

2000 AMS Mathematics Subject Classification: Primary: -; Secondary: -;

Key words and phrases: -

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