Prats'ovytyj M. The investigation of fractal objects of the analysis and probability theory.

In the thesis is devoted to study of new classes of of functions and probability distributions with the complicated (fractal) local structure (mainly, they are are the pure probability distributions, first of all, singular, and are the pure probability distributions, first of all, singular, and singular, and nondifferentiable functions defined by converters of infinite character representations of argument, etc.), specific systems and continued fractions fractions, Ostrogradskyi's alternating serieses, poly-polybasic Q-representations etc. The main goals andand results of these researches for probability dis-tributions are the study of their structure and fractal propertiesproperties of thier spectra, their "supports" and other other problems.