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Trudy Inst. Mat. i Mekh. UrO RAN, 2015, Volume 21, Number 4, Pages 223–233 (Mi timm1243)  

Biorthogonal bases of multiwavelets

E. A. Pleshcheva

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg

Abstract: A method for the construction of biorthogonal bases of multiwavelets from known bases of multiscaling functions is given. It is similar to the method presented in my 2014 paper coauthored with N.I. Chernykh and is based on the same principle: in the construction of multiwavelets based on $k$ multiscaling functions, an analog of the vector product of vectors in a $2k$-dimensional space is used.

Keywords: multiwavelet, mask, biorthogonal basis, scaling function, multiresolution analysis.

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English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2017, 296, suppl. 1, 175–185

Bibliographic databases:

UDC: 517.5

Citation: E. A. Pleshcheva, “Biorthogonal bases of multiwavelets”, Trudy Inst. Mat. i Mekh. UrO RAN, 21, no. 4, 2015, 223–233; Proc. Steklov Inst. Math. (Suppl.), 296, suppl. 1 (2017), 175–185

Citation in format AMSBIB
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\by E.~A.~Pleshcheva
\paper Biorthogonal bases of multiwavelets
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2015
\vol 21
\issue 4
\pages 223--233
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\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3468444}
\elib{https://elibrary.ru/item.asp?id=25300999}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2017
\vol 296
\issue , suppl. 1
\pages 175--185
\crossref{https://doi.org/10.1134/S008154381702016X}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000403678000016}


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