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Abstract. The inverse wavelet transform is studied with the help of the summability means of Fourier transforms. Norm and almost everywhere convergence of the inversion formula is obtained for $L_p$ functions. The points of the set of the almost everywhere convergence are characterized as the Lebesgue points.
DOI: 10.14232/actasm-014-295-8
AMS Subject Classification
(1991): 42C40; 42C15, 42B08, 42A38, 46B15
Keyword(s):
continuous wavelet transform,
$\theta $-summability,
inversion formula
Received June 10, 2014, and in revised form January 6, 2015. (Registered under 45/2014.)
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