Hypercomplex Generalizations of Gaussian-type Measures

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. 1 1 Introduction.Feynman integrals and quasi-measures with values in the field of complex numbers are very important in mathematics and mathematical physics, quantum mechanics, quantum field theory and partial differential equations (PDEs)