Asymptotics of the scattered Debye potentials via a generalized convolution.

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. [ABSTRACT FROM AUTHOR]