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Abstract. Using summability theory, we obtain restricted convergence of the inverse continuous wavelet transform at Lebesgue points for functions from the $L_p$ and Wiener amalgam spaces.
DOI: 10.14232/actasm-015-530-8
AMS Subject Classification
(1991): 42C40; 42C15, 42B08, 42A38, 46B15
Keyword(s):
continuous wavelet transform,
Wiener amalgam spaces,
$\theta $-summability,
inversion formula,
restricted convergence
Received April 22, 2015. (Registered under 30/2015.)
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