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

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

arxiv: 0905.1710 · v1 · submitted 2009-05-11 · 🧮 math.CA · math.SP

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 This is my paper

classification 🧮 math.CA math.SP

keywords operatorscanonicaldifferenceexplicitinversionkernelssubclassweyl

0 comments

read the original 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.

This paper has not been read by Pith yet.

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

discussion (0)