Physics – Mathematical Physics
Scientific paper
2008-01-30
p-Adic Numbers, Ultrametric Analysis and Applications. 2009. V.1. N.1. P.18-33
Physics
Mathematical Physics
18 pages, some commentaries added
Scientific paper
The general construction of frames of p-adic wavelets is described. We
consider the orbit of a mean zero generic locally constant function with
compact support (mean zero test function) with respect to the action of the
p-adic affine group and show that this orbit is a uniform tight frame. We
discuss relation of this result to the multiresolution wavelet analysis.
Albeverio Sergio
Kozyrev S. V.
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