Bulletin of the Belgian Mathematical Society - Simon Stevin
- Bull. Belg. Math. Soc. Simon Stevin
- Volume 13, Number 3 (2006), 499-512.
The distributional Kontorovich-Lebedev transformation with the Hankel function in the kernel
Y. E. Gutiérrez-Tovar and J. M. R. Méndez-Pérez
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.
Article information
Source
Bull. Belg. Math. Soc. Simon Stevin, Volume 13, Number 3 (2006), 499-512.
Dates
First available in Project Euclid: 20 October 2006
Permanent link to this document
https://projecteuclid.org/euclid.bbms/1161350691
Digital Object Identifier
doi:10.36045/bbms/1161350691
Mathematical Reviews number (MathSciNet)
MR2307685
Zentralblatt MATH identifier
1131.46030
Subjects
Primary: 46F12: Integral transforms in distribution spaces [See also 42-XX, 44-XX]
Keywords
Hankel function Kontorovich-Lebedev transformation inversion formula distributions
Citation
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 13 (2006), no. 3, 499--512. doi:10.36045/bbms/1161350691. https://projecteuclid.org/euclid.bbms/1161350691
