Abstract
Convolution semigroups of probability measures with parameter in a cone in a Euclidean space generalize usual convolution semigroups with parameter in $[0,\infty)$. A characterization of such semigroups is given and examples are studied. Subordination of cone-parameter convolution semigroups by cone-valued cone-parameter convolution semigroups is introduced. Its general description is given and inheritance properties are shown. In the study the distinction between cones with and without strong bases is important.
Citation
Jan PEDERSEN. Ken-iti SATO. "Cone-Parameter Convolution Semigroups and Their Subordination." Tokyo J. Math. 26 (2) 503 - 525, December 2003. https://doi.org/10.3836/tjm/1244208605
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