A formula for the generalized resolvent of an isometric operator for the exterior of the unit disk

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 1973 English Publisher:Springer Science and Business Media LLCJournal:Mathematical Notes of the Academy of Sciences of the USSR, volume 13, pages 508-512 (issn: 0001-4346, eissn: 1573-8876,

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Authors: Markelov, Yu. S.;

doi: 10.1007/bf01163959

A formula for the generalized resolvent of an isometric operator for the exterior of the unit disk

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Abstract

In this note we establish the relationship between characteristic functions and generalized resolvents of isometric operators for the exterior of the unit disk. A certain sufficient condition is given in terms of characteristic functions that the form of the formula for the generalized resolvent be preserved across the unit circle.

Keywords

Functional calculus for linear operators, Spectrum, resolvent

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