TY  - JOUR
ID  - Banaś2012
LB  - Banaś2012
AU  - Banaś, Wojciech
TI  - Compactly supported multi-wavelets
ST  - Compactly supported multi-wavelets
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2012
VL  - 32
IS  - 1
SP  - 21
EP  - 29
DO  - http://dx.doi.org/10.7494/OpMath.2012.32.1.21
UR  - http://dx.doi.org/10.7494/OpMath.2012.32.1.21
AB  - 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.
KW  - compactly supported multi-wavelet
KW  - compactly supported scaling function
KW  - multiresolution analysis
KW  - expansive matrix
SN  - 1232-9274
ER  -