Local Convergence of the Continuous and Semi-Discrete Wavelet Transform in Lp(R)

The smoothness of functions f in the space Lp(R) with 1<p<∞ is studied through the local convergence of the continuous wavelet transform of f. Additionally, we study the smoothness of functions in Lp(R) by means of the local convergence of the semi-discrete wavelet transform.

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Bibliographic Details
Published inMathematics (Basel) Vol. 9; no. 5; p. 522
Main Authors Navarro-Fuentes, Jaime, Arellano-Balderas, Salvador, Herrera-Alcántara, Oscar
Format Journal Article
LanguageEnglish
Published 03.03.2021
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Summary:The smoothness of functions f in the space Lp(R) with 1<p<∞ is studied through the local convergence of the continuous wavelet transform of f. Additionally, we study the smoothness of functions in Lp(R) by means of the local convergence of the semi-discrete wavelet transform.
ISSN:2227-7390
2227-7390
DOI:10.3390/math9050522