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Matematicheskie Zametki, 1973, Volume 13, Issue 6, Pages 849–856 (Mi mzm7189)  
A formula for the generalized resolvent of an isometric operator for the exterior of the unit disk

Yu. S. Markelov
Full-text PDF (535 kB)
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.
Received: 07.08.1972
English version:
Mathematical Notes, 1973, Volume 13, Issue 6, Pages 508–512
DOI: https://doi.org/10.1007/BF01163959
Bibliographic databases:
UDC: 513.88
Language: Russian
Citation: Yu. S. Markelov, “A formula for the generalized resolvent of an isometric operator for the exterior of the unit disk”, Mat. Zametki, 13:6 (1973), 849–856; Math. Notes, 13:6 (1973), 508–512
Citation in format AMSBIB
\Bibitem{Mar73}
\by Yu.~S.~Markelov
\paper A~formula for the generalized resolvent of an isometric operator for the exterior of the unit disk
\jour Mat. Zametki
\yr 1973
\vol 13
\issue 6
\pages 849--856
\mathnet{http://mi.mathnet.ru/mzm7189}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=326427}
\zmath{https://zbmath.org/?q=an:0274.47012}
\transl
\jour Math. Notes
\yr 1973
\vol 13
\issue 6
\pages 508--512
\crossref{https://doi.org/10.1007/BF01163959}
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