Semistable laws on topological vector spaces |
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| Authors: | Dong M Chung Balram S Rajput Albert Tortrat |
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| Institution: | (1) Sogang University, Seoul, Korea;(2) The University of Tennessee, Knoxville, USA;(3) Laboratoire des Probabilites, The University of Paris, 4 Place Jussieu, F-75230 Paris cédex 5, France |
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| Abstract: | Summary In this paper we discuss three types of results: Firstly, we present two Lévy-Hin in type representations of Poisson type infinitely divisible (i.d.) laws on certain topological vector (TV) spaces; one of these complements a known representation due to Dettweiler. Secondly, we define and characterize r-semistable laws on locally convex TV spaces and also obtain good representation of their characteristic functions. Finally, we discuss the existence and the continuity of the semigroup {
t t>0} of i.d. laws on locally convex TV spaces. These complement similar known results of Siebert.The research of this author is partially supported by the Office of Naval Research under contract No. N0014-78-C-0468 |
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