Multidimensional basis of p-adic wavelets and representation theory |
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Authors: | Sergio Albeverio Sergei V Kozyrev |
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Institution: | 1. Institut für Angewandte Mathematik, Universit?t Bonn, Bonn, Germany 2. Steklov Mathematical Institute, Moscow, Russia
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Abstract: | A multidimensional basis of p-adic wavelets is constructed. The relation of the constructed basis to a system of coherent states i.e., orbit of action)
for some p-adic group of linear transformations is discussed. We show that the set of products of the vectors from the constructed basis
and p-roots of unity is the orbit of the corresponding p-adic group of linear transformations.
The text was submitted by the authors in English. |
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Keywords: | p-adic wavelets multiresolution analysis representation theory |
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