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Acta Mathematica Hungarica

, Volume 138, Issue 3, pp 237–258 | Cite as

Inversion formulas for the continuous wavelet transform

  • Ferenc Weisz
Article

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 L p and Wiener amalgam spaces. The summability of the inversion formula is also considered.

Key words and phrases

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

Mathematics Subject Classification

42C15 42B08 42C40 42A38 46B15 

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Copyright information

© Akadémiai Kiadó, Budapest, Hungary 2012

Authors and Affiliations

  1. 1.Department of Numerical AnalysisEötvös L. UniversityBudapestHungary

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