Haar bases for $L^2(\mathbb{Q}_2^2)$ generated by one wavelet function
Functional Analysis
2010-08-03 v1
Abstract
The concept of -adic quincunx Haar MRA was introduced and studied in~\cite{KS10}. In contrast to the real setting, infinitely many different wavelet bases are generated by a -adic MRA. We give an explicit description for all wavelet functions corresponding to the quincunx Haar MRA. Each one generates an orthogonal basis, one of them was presented in~\cite{KS10}. A connection between quincunx Haar bases and two-dimensional separable Haar MRA is also found.
Cite
@article{arxiv.1008.0163,
title = {Haar bases for $L^2(\mathbb{Q}_2^2)$ generated by one wavelet function},
author = {S. Albeverio and M. Skopina},
journal= {arXiv preprint arXiv:1008.0163},
year = {2010}
}
Comments
19 pages