Multidimensional basis of p-adic wavelets and representation theory

Details Multidimensional basis of p-adic wavelets and representation theory Multidimensional basis of p-adic wavelets and representation theory

2009-03-03

arxiv.org/abs/0903.0461v1

p-Adic Numbers, Ultrametric Analysis and Applications. 2009. V.1. N3. P. 181-189

Physics

Mathematical Physics

12 pages

Scientific paper

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 one is
the orbit of the corresponding p-adic group of linear transformations.

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