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Abstract
The inversion formula for the continuous wavelet transform is usually considered in the weak sense. With the help of summability methods of Fourier transforms we obtain norm convergence and convergence at Lebesgue points of the inverse wavelet transform for functions from the Lp and Wiener amalgam spaces.
Keywords: Continuous wavelet transform; Wiener amalgam spaces; θ-summability; inversion formula; Hardy spaces
Received: 2014-6-6
Accepted: 2015-1-21
Published Online: 2015-2-3
Published in Print: 2015-3-1
© 2015 by De Gruyter
