Inverse continuous wavelet transform in Pringsheim's sense on Wiener amalgam spaces

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5 Citations (Scopus)

Abstract

The inversion formula for the continuous wavelet transform is usually considered in the weak sense. In the present note we trace back the inverse wavelet transform to summability means of Fourier transforms and obtain norm and almost everywhere convergence of the inversion formula for functions from the Lp and Wiener amalgam spaces.

Original languageEnglish
Pages (from-to)392-415
Number of pages24
JournalActa Mathematica Hungarica
Volume145
Issue number2
DOIs
Publication statusPublished - Apr 1 2015

Keywords

  • Wiener amalgam space
  • continuous wavelet transform
  • inversion formula
  • θ-summability

ASJC Scopus subject areas

  • Mathematics(all)

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