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On the Recovery of Analytic Functions

Published online by Cambridge University Press:  20 November 2018

Joseph A. Cima  and
Michael Stessin
Joseph A. Cima
Affiliation:
Deptartment of Mathematics, University of North Carolina, Chapel Hill, North Carolina 27599, U.S.A.
Michael Stessin
Affiliation:
Deptartment of Mathematics and Statistics, SUNY at Albany, Albany, New York 12222, U.S.A.
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Abstract

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In this paper we consider questions of recapturing an analytic function in a Banach space from its values on a uniqueness set. The principal method is to use reproducing kernels to construct a sequence in the Banach space which converges in norm to the given functions. The method works for several classical Banach spaces of analytic functions including some Hardy and Bergman spaces.

Keywords

30D5030D5532A35
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 48 , Issue 2 , 01 April 1996 , pp. 288 - 301
Copyright
Copyright © Canadian Mathematical Society 1996

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