Research Papers

On convergence of dyadic wavelet expansions

A. A. Gorshanova, E. A. Lebedeva

St. Petersburg State University, Mathematics and Mechanics Faculty

Abstract: Approximation properties of wavelet frames are studied. Wavelets are defined on a positive half-line equipped with dyadic addition. $L^p$-convergence and almost everywhere convergence are proved.

Keywords: wavelet frames, dyadic addition, Cantor group, $L^p$ convergence, almost everywhere convergence.

Received: 27.05.2025