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// Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
// Archive
Izv. Saratov Univ. Math. Mech. Inform.,
2011
Volume 11,
Issue 3(1),
Pages
25–32
(Mi isu231)
This article is cited in
2
papers
Mathematics
Nonorthogonal multiresolution analysis on zero-dimensional locally compact groups
S. F. Lukomskii
Saratov State University, Chair of Mathematical Analysis
Abstract:
We given necessary and sufficient condition under which the solution of refinement equation with compactly supported Fourier transform generate the multiresolution analysis.
Key words:
zero-dimensional locally compact groups, shifts, dilations, Riesz systems.
UDC:
517.51
DOI:
10.18500/1816-9791-2011-11-3-1-25-32
Fulltext:
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Steklov Math. Inst. of RAS
, 2025
Fulltext:
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