A. Vodolazov

collaborators

2 papers

math.NT2023

On approximation by tight wavelet frames on the field of $p$ -adic numbers

S. F. Lukomskii, A. M. Vodolazov

We discuss the problem on approximation by tight step wavelet frames on the field $Q_{p}$ of $p$ -adic numbers. Let $G_{n} = {x = \sum_{k = n}^{\infty} x_{k} p^{k}}$ , $X$ be a set of cha…

math.FA2022

p-adic tight wavelet frames

Sergey Lukomskii, Aleksandr Vodolazov

We propose a simple method to construct step mask and corresponding step wavelet functions that generate tight wavelet frames on the field of p-adic numbers. To construct tight wav…

On approximation by tight wavelet frames on the field of p-adic numbers

p-adic tight wavelet frames

On approximation by tight wavelet frames on the field of $p$ -adic numbers