On the iterated Stieltjes transform and its convolution with applications to singular integral equations
Classical Analysis and ODEs
2013-11-26 v2
Abstract
We consider mapping properties of the iterated Stieltjes transform, establishing its new relations with the iterated Hilbert transform (a singular integral) on the half-axis and proving the corresponding convolution and Titchmarsh's type theorems. Moreover, the obtained convolution method is applied to solve a new class of singular integral equations.
Keywords
Cite
@article{arxiv.1311.3084,
title = {On the iterated Stieltjes transform and its convolution with applications to singular integral equations},
author = {S. Yakubovich and M. Martins},
journal= {arXiv preprint arXiv:1311.3084},
year = {2013}
}