Hardy spaces for the strip

In this paper we shall study Hardy spaces of analytic functions in a strip S . Our main result is on one hand an intrinsic characterization of the spaces and on the second that polynomials are dense. We also present an orthogonal (in H 2 ( S ) ) basis of polynomials.

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2007-09, Vol.333 (1), p.347-364
Main Authors: Bakan, Andrew, Kaijser, Sten
Format: Article
Language:English
Subjects:
[formula omitted]-classes
Approximations and expansions
Exact sciences and technology
Functions of a complex variable
H-P-classes
MATEMATIK
Mathematical analysis
MATHEMATICS
Orthogonal polynomials
Polynomial approximation
Sciences and techniques of general use
Several complex variables and analytic spaces
Special functions
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Description
Summary:In this paper we shall study Hardy spaces of analytic functions in a strip S . Our main result is on one hand an intrinsic characterization of the spaces and on the second that polynomials are dense. We also present an orthogonal (in H 2 ( S ) ) basis of polynomials.
ISSN:0022-247X
1096-0813
1096-0813
DOI:10.1016/j.jmaa.2006.10.088