This article is cited in 1 paper

Mathematics

On the inversibility of some Furier type integral operators

I. G. Khachatryan

Chair of differential equations, YSU, Armenia

Abstract: The paper considers in the space $L^2(0, \infty)$ a Fourier type integral operator $U$, which arise in the inverse problem of the quantum scattering theory. It is proved, that either operator $U$ or its conjugate $U^*$ is invertible.

UDC: 517.53

Received: 11.06.2003
Accepted: 20.11.2003