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Hypercomplex Generalizations of Gaussian-type Measures (1812.06326v1)
Published 15 Dec 2018 in math.PR
Abstract: The article is devoted to a new type of measures which are hypercomplex generalizations of Gaussian-type measures. The considered such measures are related with solutions of high order hyperbolic PDEs and related Markov processes. Their characteristic functionals are investigated. Cylindrical distributions of these measures are studied.