Index transforms with Weber type kernels
Classical Analysis and ODEs
2018-01-08 v4
Abstract
New index transforms with Weber type kernels, consisting of products of Bessel functions of the first and second kind are investigated. Mapping properties and inversion formulas are established for these transforms in Lebesgue spaces. The results are applied to solve a boundary value problem on the wedge for a fourth order partial differential equation.
Cite
@article{arxiv.1711.01933,
title = {Index transforms with Weber type kernels},
author = {Semyon Yakubovich},
journal= {arXiv preprint arXiv:1711.01933},
year = {2018}
}