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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Generalized interpolation in a multiply connected region
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by Hari Bercovici and Adele Zucchi PDF
Proc. Amer. Math. Soc. 124 (1996), 2109-2113 Request permission

Abstract:

In this paper we extend to the case of multiply connected regions the famous result of Sarason concerning the characterization of operators commuting with the compression of the unilateral shift on $H^{2}$ to a co-invariant subspace.
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Additional Information
  • Hari Bercovici
  • Affiliation: Department of Mathematics, Indiana University, Rawles Hall, Bloomington, Indiana 47405-5701
  • MR Author ID: 34985
  • Email: bercovic@indiana.edu
  • Adele Zucchi
  • Affiliation: Department of Mathematics, Indiana University, Rawles Hall, Bloomington, Indiana 47405-5701
  • Received by editor(s): November 28, 1994
  • Received by editor(s) in revised form: January 27, 1995
  • Additional Notes: The first author was supported in part by grants from the National Science Foundation
    The second author was supported in part by the Istituto Nazionale di Alta Matematica “F. Severi" of Italy
  • Communicated by: Palle E. T. Jorgensen
  • © Copyright 1996 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 124 (1996), 2109-2113
  • MSC (1991): Primary 47A45; Secondary 47B35, 30D55, 30E05
  • DOI: https://doi.org/10.1090/S0002-9939-96-03286-8
  • MathSciNet review: 1322912