Measure Convolution Semigroups and Noninfinitely Divisible Probability Distributions
نویسندگان
چکیده
منابع مشابه
Markov kernels, convolution semigroups, and projective families of probability measures
For a measurable space (E,E ), we denote by E+ the set of functions E → [0,∞] that are E → B[0,∞] measurable. It can be proved that if I : E+ → [0,∞] is a function such that (i) f = 0 implies that I(f) = 0, (ii) if f, g ∈ E+ and a, b ≥ 0 then I(af + bg) = aI(f) + bI(g), and (iii) if fn is a sequence in E+ that increases pointwise to an element f of E+ then I(fn) increases to I(f), then there a ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Sciences
سال: 2005
ISSN: 1072-3374,1573-8795
DOI: 10.1007/s10958-005-0441-3