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Adaptive Multiresolution Analysis on the Dyadic Topological Group

โœ Scribed by Bl Sendov

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
200 KB
Volume
96
Category
Article
ISSN
0021-9045

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โœฆ Synopsis

A type of multiresolution analysis on the space of continuous functions defined on the dyadic topological group is proposed, depending on free parameters. The appropriate choice of parameters is used to adapt this analysis to a given function.

1999 Academic Press

The definitions of the operators d, [t j, k ] j, k # Z explore transformations in the group R, dilate, and translate.

In this paper, we define a type of multiresolution analysis on L 2 (G), where G is the dyadic topological group [8], which is compact.

There are many general and profound studies of multiresolution analysis over different groups, see for example [1] and [5]. Our study differs in

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