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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2011, Volume 11, Issue 2, Pages 26–32
DOI: https://doi.org/10.18500/1816-9791-2011-11-2-26-32 (Mi isu214) 		 
Mathematics

Parametrization of bivariate nonseparable Haar wavelets

M. S. Krasilnikova

Voronezh State University, Chair of Functional Analysis and Operator Equations
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DOI: https://doi.org/10.18500/1816-9791-2011-11-2-26-32
Abstract: A parametrization of all orthogonal wavelet bases for Haar multiresolution analysis is derived. The bases generated by three piecewise constant wavelets $\{\eta_i(x,y)\}$, $i=1,2,3$, supported on $[0,1]\times[0,1]$, with values $a_{ij}\in\mathbb R$, $i=1,2,3$, $j=1,2,3,4$, are considered.
Key words: orthogonal bases, Haar wavelets, multiresolution analysis.
Document Type: Article
UDC: 517.518.36
Language: Russian
Citation: M. S. Krasilnikova, “Parametrization of bivariate nonseparable Haar wavelets”, Izv. Saratov Univ. Math. Mech. Inform., 11:2 (2011), 26–32
Citation in format AMSBIB
\Bibitem{Kra11}
\by M.~S.~Krasilnikova
\paper Parametrization of bivariate nonseparable Haar wavelets
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2011
\vol 11
\issue 2
\pages 26--32
\mathnet{http://mi.mathnet.ru/isu214}
\crossref{https://doi.org/10.18500/1816-9791-2011-11-2-26-32}
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    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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