Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)

For citation:

Lukomskii S. F. Matrix representation of dilation operator on the product of zero-dimensional locally compact Abelian groups. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2013, vol. 13, iss. 2, pp. 8-14. DOI: 10.18500/1816-9791-2013-13-2-1-8-14, EDN: SJJAVR

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
27.02.2013
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Language: 
Russian
Heading: 
Mathematics
UDC: 
517.518.34, 517.518.36, 517.986.62
DOI: 
10.18500/1816-9791-2013-13-2-1-8-14
EDN: 
SJJAVR

Matrix representation of dilation operator on the product of zero-dimensional locally compact Abelian groups

Autors: 
Lukomskii Sergei Feodorovich, Saratov State University
Abstract: 

In the real wavelet analysis dd-dimensional dilation operator may be written with the help of an integer-valued d×dmatrix. We find the matrix representation of the dilation operator on the product of zero-dimensional locally compact Abelian groups. 

Key words: 
zero-dimensional group
delation operator
multiresolution analysis
References: 
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Received: 
20.08.2012
Accepted: 
10.01.2013
Published: 
27.02.2013
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