On explicit inversion of a subclass of operators with $D$-difference kernels and Weyl theory of the corresponding canonical systems

Abstract

Explicit inversion formulas for a subclass of integral operators with $D$-difference kernels on a finite interval are obtained. A case of the positive operators is treated in greater detail. An application to the inverse problem to recover canonical system from a Weyl function is given.

Cited by in corpus (2)

• Inverse scattering of Canonical systems and their evolution
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