Almost everywhere and norm convergence of the inverse continuous wavelet transform in Pringsheim's sense

Kristóf Szarvas, F. Weisz

Research output: Contribution to journalArticle

Abstract

The inverse wavelet transform is studied with the help of the summability means of Fourier transforms. Norm and almost everywhere convergence of the inversion formula is obtained for Lp functions. The points of the set of the almost everywhere convergence are characterized as the Lebesgue points.

Original languageEnglish
Pages (from-to)125-146
Number of pages22
JournalActa Scientiarum Mathematicarum
Volume82
Issue number1-2
DOIs
Publication statusPublished - 2016

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Keywords

  • Continuous wavelet transform
  • Inversion formula
  • θ-summability

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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