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

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

2009-05-11

arxiv.org/abs/0905.1710v1

Positivity, 2009

Mathematics

Classical Analysis and ODEs

Scientific paper

10.1007/s11117-009-0036-1

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.

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