ABSTRACT
In this paper, we express the scattered Debye potentials via a new generalized convolution related to the Kontorovich-Lebedev integral. The uniform asymptotics of the scattered Debye potentials under very mild conditions on spectral functions are obtained, and an inverse problem of finding spectral functions from given Debye potentials is considered.
Disclosure statement
No potential conflict of interest was reported by the authors.
Funding
This research is funded by Vietnam's National Foundation for Science and Technology Development (NAFOSTED) under grant number 101.02-2015.12.