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arXiv · 0905.1710

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

A. L. Sakhnovich·A. A. Karelin·J. Seck-Tuoh-Mora·G. Perez-Lechuga·M. Gonzalez-Hernandez
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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.

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A. L. Sakhnovich, A. A. Karelin, J. Seck-Tuoh-Mora, G. Perez-Lechuga, M. Gonzalez-Hernandez. 2009-05-11. On explicit inversion of a subclass of operators with $D$-difference kernels and Weyl theory of the corresponding canonical systems. https://doi.org/10.1007/s11117-009-0036-1

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