p-Adic refinable functions and MRA-based wavelets
General Mathematics
2007-11-20 v1 Mathematical Physics
math.MP
Abstract
We described a wide class of -adic refinable equations generating -adic multiresolution analysis. A method for the construction of -adic orthogonal wavelet bases within the framework of the MRA theory is suggested. A realization of this method is illustrated by an example, which gives a new 3-adic wavelet basis. Another realization leads to the -adic Haar bases which were known before.
Keywords
Cite
@article{arxiv.0711.2820,
title = {p-Adic refinable functions and MRA-based wavelets},
author = {A. Yu. Khrennikov and V. M. Shelkovich and M. Skopina},
journal= {arXiv preprint arXiv:0711.2820},
year = {2007}
}
Comments
10 pages