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Cone-parameter convolution semigroups and their subordination. (English) Zbl 1039.43004

The authors give a characterization of cone-parameter convolution semigroups, which are connected with the Lévy-Khintchine representation. Some examples are discussed. Subordination of cone-parameter convolution semigroups by cone-valued cone-parameter convolution semigroups is introduced with its general description. This is an extension of Bochner’s subordination.

MSC:

43A10 Measure algebras on groups, semigroups, etc.
Full Text: DOI

References:

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