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a-algebra algebra analogue argument arithmetic Baire set Borel sets bounded Brownian motion canonical Cauchy compact set condition continuous convex Corollary corresponding countable D-separable D. G. Kendall Davidson decomposition defined definition Delphic semigroups denotes dense distribution Doob equation example exists fact factor finite finite-dimensional distributions fixed follows formula function Gaussian Getoor given Hausdorff Hausdorff measure holds homomorphism implies indecomposable independent increments inequality infinitely divisible Kingman Lebesgue measure Lemma limit theorems linear mapping Markov chain Markov processes Math metric multiplication name-class non-negative norm numerical range obtain p-functions phenomenon positive integers probability measure problem Proof properties Proposition proved random variables real numbers regenerative phenomena result sample path satisfies Section simple space Statist stochastic processes sub-semigroup subset subspace suppose symmetric stable process theory topology transition probabilities triangular array trivial values vector WahrscKtheorie & verw weak convergence zero Ztschr