The distributional Kontorovich-Lebedev transformation with the Hankel function in the kernel
Gutiérrez-Tovar, Y. E. ; Méndez-Pérez, J. M. R.
Bull. Belg. Math. Soc. Simon Stevin, Tome 12 (2006) no. 5, p. 499-512 / Harvested from Project Euclid
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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.
Publié le : 2006-09-14
Classification:  Hankel function,  Kontorovich-Lebedev transformation,  inversion formula,  distributions,  46F12 
@article{1161350691,
     author = {Guti\'errez-Tovar, Y. E. and M\'endez-P\'erez, J. M. R.},
     title = {The distributional Kontorovich-Lebedev transformation with the Hankel function in
the kernel},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {12},
     number = {5},
     year = {2006},
     pages = { 499-512},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1161350691}
}

Gutiérrez-Tovar, Y. E.; Méndez-Pérez, J. M. R. The distributional Kontorovich-Lebedev transformation with the Hankel function in
the kernel. Bull. Belg. Math. Soc. Simon Stevin, Tome 12 (2006) no. 5, pp.  499-512. http://gdmltest.u-ga.fr/item/1161350691/