Systems of integral equations of Toeplitz plus Hankel kernel related to the Kontorovich-Lebedev and Fourier transforms

Abstract

In this paper, we investigate several systems of integral equations with the Toeplitz plus Hankel kernel which can be solved in closed form in certain function space  with the help of the generalized convolution for the Kontorovich-Lebedev, Fourier sine, and the Fourier cosine transforms.

Keywords: Kontorovich-Lebedev transform, Fourier transform, Toeplitz plus Hankel integral equation.