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Inversion formulas for the continuous wavelet transform

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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.

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Authors and Affiliations

  1. Department of Numerical Analysis, Eötvös L. University, Pázmány P. sétány 1/C., H-1117, Budapest, Hungary

    Ferenc Weisz

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  1. Ferenc Weisz
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Correspondence to Ferenc Weisz.

Additional information

The project is supported by the European Union and co-financed by the European Social Fund (grant agreement no. TAMOP 4.2.1/B-09/1/KMR-2010-0003).

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Weisz, F. Inversion formulas for the continuous wavelet transform. Acta Math Hung 138, 237–258 (2013). https://doi.org/10.1007/s10474-012-0263-y

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  • DOI: https://doi.org/10.1007/s10474-012-0263-y

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