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DOE OSTI · 21418088

Multiresolution analysis on zero-dimensional Abelian groups and wavelets bases

Lukomskii, Sergei F
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Abstract

For a locally compact zero-dimensional group (G,+{sup .}), we build a multiresolution analysis and put forward an algorithm for constructing orthogonal wavelet bases. A special case is indicated when a wavelet basis is generated from a single function through contractions, translations and exponentiations. Bibliography: 19 titles.

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97 MATHEMATICS AND COMPUTINGALGORITHMSBIBLIOGRAPHIESDOCUMENT TYPESFUNCTIONSGROUP THEORYMATHEMATICAL LOGICMATHEMATICAL SOLUTIONSMATHEMATICS

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Lukomskii, Sergei F. 2010-06-29. Multiresolution analysis on zero-dimensional Abelian groups and wavelets bases. https://doi.org/10.1070/sm2010v201n05abeh004088

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