Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4622908 | Journal of Mathematical Analysis and Applications | 2007 | 11 Pages |
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.
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