New type of monogenic polynomials and associated spheroidal wavelets
Classical Analysis and ODEs
2017-06-06 v1 Mathematical Physics
math.MP
Abstract
In the present work, new classes of wavelet functions are presented in the framework of Clifford analysis. Firstly, some classes of new monogenic polynomials are provided based on 2-parameters weight functions. Such classes extend the well known Jacobi-Gegenbauer ones. The discovered polynomial sets are next applied to introduce new wavelet functions. Reconstruction formula as well as Fourier-Plancherel rules have been proved.
Keywords
Cite
@article{arxiv.1704.03498,
title = {New type of monogenic polynomials and associated spheroidal wavelets},
author = {Sabrine Arfaoui and Anouar Ben Mabrouk},
journal= {arXiv preprint arXiv:1704.03498},
year = {2017}
}
Comments
24 pages