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arXiv · 1008.0163

Haar bases for $L^2(\mathbb{Q}_2^2)$ generated by one wavelet function

S. Albeverio·M. Skopina
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Abstract

The concept of $p$-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 $p$-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.

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BibTeXRIS

S. Albeverio, M. Skopina. 2010-08-01. Haar bases for $L^2(\mathbb{Q}_2^2)$ generated by one wavelet function. https://arxiv.org/abs/1008.0163

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