S. A. Evdokimov, M. A. Skopina, “2-adic wavelet bases”, Trudy Inst. Mat. i Mekh. UrO RAN, 2009, Volume 15, Number 1,Pages <nobr>135

This article is cited in 12 papers

2-adic wavelet bases

S. A. Evdokimov^a, M. A. Skopina^b

^a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
^b St. Petersburg State University, Faculty of Applied Mathematics and Control Processes

Abstract: Within the theory of multiresolution analysis, a method of constructing 2-adic wavelet systems that form Riesz bases in $L^2(\mathbb Q_2)$ is developed. An implementation of this method for some infinite family of multiresolution analyses leading to nonorthogonal Riesz bases is presented.

Keywords: 2-adic wavelets, multiresolution analysis, scaling function, Riesz base.

UDC: 517.5

Received: 17.03.2008