Abstract
A version of the Kontorovich-Lebedev transformation, involving the Hankel function of second kind in its kernel and connected with the Helmholtz's equation, has been investigated from a classical point of view by D. S. Jones. The main objective of this work is to extend this transform to certain space of generalized functions, establishing the corresponding distributional inversion formula.
Citation
Y. E. Gutiérrez-Tovar. J. M. R. Méndez-Pérez. "The distributional Kontorovich-Lebedev transformation with the Hankel function in the kernel." Bull. Belg. Math. Soc. Simon Stevin 13 (3) 499 - 512, September 2006. https://doi.org/10.36045/bbms/1161350691
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