A characterization of the generators of analytic -semigroups in the class of scalar type spectral operators.

Markin, Marat V.

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Displaying similar documents to “A characterization of the generators of analytic $C_{0}$ -semigroups in the class of scalar type spectral operators.”

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The object of the present work is to construct all the generalized spectral functions of a certain class of Carleman operators in the Hilbert space $L^{2} (X, μ)$ and establish the corresponding expansion theorems, when the deficiency indices are (1,1). This is done by constructing the generalized resolvents of $A$ and then using the Stieltjes inversion formula.

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