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An inverse problem connected to double orthogonality in Bergman spaces

Published online by Cambridge University Press:  01 May 2000

MATS ERIK ANDERSSON
MATS ERIK ANDERSSON
Affiliation:
Matematiska institutionen, Stockholms universitet, SE-106 91 Stockholm, Sweden. e-mail: matsa@matematik.su.se
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Abstract

An orthonormal basis of analytic functions in the Bergman space is a doubly orthogonal system if it simultaneously is an orthogonal system in a larger domain. The case when one of the basis elements is a monomial is characterized as belonging to a pair of domains of concentric discs.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 128 , Issue 3 , May 2000 , pp. 535 - 538
Copyright
The Cambridge Philosophical Society 2000

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