Markov Operators, Positive Semigroups and Approximation Processes (eBook, PDF)

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This research monograph gives a detailed account of a theory which is mainly concerned with certain classes of degenerate differential operators, Markov semigroups and approximation processes. These mathematical objects are generated by arbitrary Markov operators acting on spaces of continuous functions defined on compact convex sets; the study of the interrelations between them constitutes one of the distinguishing features of the book.Among other things, this theory provides useful tools for studying large classes of initial-boundary value evolution problems, the main aim being to obtain a...

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