Article ID Journal Published Year Pages File Type
4622908 Journal of Mathematical Analysis and Applications 2007 11 Pages PDF
Abstract

A version of the Kontorovich–Lebedev transformation with the Hankel function of second kind in the kernel is investigated in a space of distributions of doubly exponential descent. The inversion theorem is rigorously established making use in some steps of the proof of a relation of this transform with the Laplace one. Finally, the theory developed is illustrated in solving certain type of partial differential equations.

Related Topics
Physical Sciences and Engineering Mathematics Analysis