New index transforms of the Lebedev-Skalskaya type

New index transforms, involving the real part of the modified Bessel function of the first kind as the kernel are considered. Mapping properties such as the boundedness and invertibility are investigated for these operators in the Lebesgue spaces. Inversion theorems are proved. As an interesting app...

Full description

Bibliographic Details
Main Author: Yakubovich, SB (author)
Format: article
Language:eng
Published: 2016
Online Access:https://hdl.handle.net/10216/90457
Country:Portugal
Oai:oai:repositorio-aberto.up.pt:10216/90457