Walsh and wavelet methods for differential equations on the Cantor group
Classical Analysis and ODEs
2014-03-31 v1 Analysis of PDEs
Group Theory
Abstract
Ordinary and partial differential equation for unknown functions defined on the Cantor dyadic group are studied. We consider two types of equations: related to the Gibbs derivatives and to the fractional modified Gibbs derivatives (or pseudo differential-operators). We find solutions in classes of distributions and study under what assumptions these solutions are regular functions with some "good" properties.
Cite
@article{arxiv.1403.7349,
title = {Walsh and wavelet methods for differential equations on the Cantor group},
author = {E. Lebedeva and M. Skopina},
journal= {arXiv preprint arXiv:1403.7349},
year = {2014}
}
Comments
24 pages