Inversion formulas for the continuous wavelet transform
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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 phrasescontinuous wavelet transform Wiener amalgam space Herz space θ-summability short-time Fourier transform inversion formula
Mathematics Subject Classification42C15 42B08 42C40 42A38 46B15
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