Completion problems and scattering problems for Dirac type differential equations with singularities

Bernd Fritzsche; Bernd Kirstein; Alexander Sakhnovich

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Completion problems and scattering problems for Dirac type differential equations with singularities

Bernd Fritzsche·Bernd Kirstein·Alexander Sakhnovich

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Abstract

A completion problem to recover a rational matrix function which is j-unitary on the line is treated. A Dirac type system with singularities on the semiaxis is recovered explicitly by its left reflection coefficient. The close connection between these two problems is discussed.

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Bernd Fritzsche, Bernd Kirstein, Alexander Sakhnovich. 2004-09-22. Completion problems and scattering problems for Dirac type differential equations with singularities. https://arxiv.org/abs/math/0409424

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