Weyl functions of Dirac systems and of their generalizations: integral representation, inverse problem, and discrete interpolation

Details Weyl functions of Dirac systems and of their generalizations: integral representation, inverse problem, and discrete interpolation Weyl functions of Dirac systems and of their generalizations: integral representation, inverse problem, and discrete interpolation

2010-07-25

arxiv.org/abs/1007.4304v1

Mathematics

Classical Analysis and ODEs

Scientific paper

Self-adjoint Dirac systems and subclasses of canonical systems, which
generalize Dirac systems are studied. Explicit and global solutions of direct
and inverse problems are obtained. A local Borg-Marchenko-type theorem,
integral representation of the Weyl function, and results on interpolation of
Weyl functions are also derived.

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