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Title: Multiresolution analysis on zero-dimensional Abelian groups and wavelets bases

Journal Article · · Sbornik. Mathematics
 [1]
  1. Saratov State University, Saratov (Russian Federation)

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.

OSTI ID:
21418088
Journal Information:
Sbornik. Mathematics, Vol. 201, Issue 5; Other Information: DOI: 10.1070/SM2010v201n05ABEH004088; ISSN 1064-5616
Country of Publication:
United States
Language:
English