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

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

2004-09-22

arxiv.org/abs/math/0409424v2

J.Math.Anal.Appl. 317 (2006) 510-525

Mathematics

Spectral Theory

Scientific paper

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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