ON THE INVERSIBILITY OF SOME FOURIER TYPE INTEGRAL OPERATORS

I. G. Khachatryan

doi:10.46991/PYSU:A/2004.38.2.003

ON THE INVERSIBILITY OF SOME FOURIER TYPE INTEGRAL OPERATORS

Authors

I. G. Khachatryan Chair of Differential Equations, YSU, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2004.38.2.003

Keywords:

Fourier type integral operator, quantum scattering theory

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.

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Published

2004-04-30

How to Cite

Khachatryan, I. G. (2004). ON THE INVERSIBILITY OF SOME FOURIER TYPE INTEGRAL OPERATORS. Proceedings of the YSU A: Physical and Mathematical Sciences, 38(2 (204), 3–6. https://doi.org/10.46991/PYSU:A/2004.38.2.003