Multidimensional basis of p-adic wavelets and representation theory
Mathematical Physics
2011-05-10 v1 math.MP
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 -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.
Cite
@article{arxiv.0903.0461,
title = {Multidimensional basis of p-adic wavelets and representation theory},
author = {S. Albeverio and S. V. Kozyrev},
journal= {arXiv preprint arXiv:0903.0461},
year = {2011}
}
Comments
12 pages