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Keywords:
spectral theory; integral operator; defect indices
spectral theory; integral operator; defect indices
Summary:
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}\left( X,\mu \right) $ 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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