[Authors]
 I. Ya. Novikov and M. A. Skopina

[Title]
 Why Haar bases are the same in different structures?

[AMS Subj-class]
 42C40 Wavelets and other special systems
 22A10 Analysis on general topological groups

[Abstract]
 Lately Haar bases in different structures often appear in the literature,
 and the construction of a Haar system is a unique substance in some papers.
 In the present paper we describe a simple construction of Haar systems in
 any measure space with appropriate topology. The construction includes a lot
 of Haar bases on the Euclidean spaces, p-adic, Cantor, Vilenkin and
 zero-dimensional groups.

[Keywords]
 Haar system, multiresolution analysis, p-adic group, Cantor and Vilenkin group,
 zero-dimension group

[Comments]
 LaTeX, Russian, 7 pp.

[Contact e-mail]
 skopina@MS1167.spb.edu