On extensions of commuting tuples of symmetric and isometric operators
Abstract
In this paper we study extensions of commuting tuples of symmetric and isometric operators to commuting tuples of self-adjoint and unitary operators. Some conditions which ensure the existence of such extensions are presented. A multidimensional analog of the Godic-Lucenko Theorem is proved. An application to a multidimensional power-trigonometric moment problem is given.
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