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 L p and Wiener amalgam spaces.
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Weisz, F. Inverse continuous wavelet transform in Pringsheim's sense on Wiener amalgam spaces. Acta Math. Hungar. 145, 392–415 (2015). https://doi.org/10.1007/s10474-015-0492-y
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DOI: https://doi.org/10.1007/s10474-015-0492-y