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Item type:Publication, Access status: with files , Fractional powers of linear operators in locally convex vector spaces(2021); The work is dedicated to the study of non-negative operators in locally convex spaces. At the beginning basic properties of this class of operators are investigated and afterwards a functional calculus is constructed. With its help, fractional powers, an important class of functions contained in the calculus, are investigated. At the end the theory is applied to the Caffarelli-Silvestre problem.Publicationtype: Doctoral Thesis296 874