@Article{Banaś2012,
author = "Banaś, Wojciech",
title = "Compactly supported multi-wavelets",
journal = "Opuscula Math.",
year = "2012",
volume = "32",
number = "1",
pages = "21--29",
doi = "http://dx.doi.org/10.7494/OpMath.2012.32.1.21",
url = "http://dx.doi.org/10.7494/OpMath.2012.32.1.21",
abstract = "In this paper we show some construction of compactly supported multi-wavelets in \(L^2(\mathbb{R}^d)\), \(d \geq 2\) which is based on the one-dimensional case, when \(d=1\). We also demonstrate that some methods, which are useful in the construction of wavelets with a compact support at \(d=1\), can be adapted to higher-dimensional cases if \(A \in M_{d \times d}(\mathbb{Z})\) is an expansive matrix of a special form.",
keywords = "compactly supported multi-wavelet, compactly supported scaling function, multiresolution analysis, expansive matrix",
issn = "1232-9274"
}