Frames of p-adic wavelets and orbits of the affine group

Physics – Mathematical Physics

Scientific paper

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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.

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