Wavelet characterization of the Bergman space on strip domains

Mitsuo Izuki

Research output: Contribution to journalArticle

Abstract

Our aim is to obtain conditions for the extension of a function to be an entire function on the complex plane or to be an analytic function on strip domains in terms of the wavelet coefficients. Our results are a new characterization of the Bergman space on strip domains and an improvement on the paper [5] "A. I. Zayed and G. G. Walter, Characterization of analytic functions in terms of their wavelet coefficients, Complex Variables Theory Appl. 29 (1996), 265-276.".

Original languageEnglish
Pages (from-to)867-880
Number of pages14
JournalComplex Analysis and Operator Theory
Volume3
Issue number4
DOIs
Publication statusPublished - Dec 2009
Externally publishedYes

Fingerprint

Bergman Space
Wavelet Coefficients
Strip
Analytic function
Wavelets
Complex Variables
Entire Function
Argand diagram

Keywords

  • Bergman space
  • Wavelet coefficient
  • Wavelet expansion

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Applied Mathematics
  • Computational Mathematics

Cite this

Wavelet characterization of the Bergman space on strip domains. / Izuki, Mitsuo.

In: Complex Analysis and Operator Theory, Vol. 3, No. 4, 12.2009, p. 867-880.

Research output: Contribution to journalArticle

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