Inversion formulas for the continuous wavelet transform

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14 Citations (Scopus)

Abstract

The inversion formula for the continuous wavelet transform is usually considered in the weak sense. In the present note we investigate the norm and a. e. convergence of the inversion formula in Lp and Wiener amalgam spaces. The summability of the inversion formula is also considered.

Original languageEnglish
Pages (from-to)237-258
Number of pages22
JournalActa Mathematica Hungarica
Volume138
Issue number3
DOIs
Publication statusPublished - Jan 10 2013

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Keywords

  • Herz space
  • Wiener amalgam space
  • continuous wavelet transform
  • inversion formula
  • short-time Fourier transform
  • θ-summability

ASJC Scopus subject areas

  • Mathematics(all)

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