Spectral analysis of the Dirac system with a singularity in an interior point

Chung-Tsun Shieh; Oleg Gorbunov; Vjacheslav Yurko

Spectral analysis of the Dirac system with a singularity in an interior point

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arxiv 1410.2020 v1 pith:2JRGLVS2 submitted 2014-10-08 math.SP

Oleg Gorbunov , Chung-Tsun Shieh , Vjacheslav Yurko This is my paper

classification math.SP

keywords pointanalysisdiracfundamentalinteriorsingularitysolutionsspectral

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We study the non-selfadjoint Dirac system on the line having an non-integrable regular singularity in an interior point with additional matching conditions at the singular point. Special fundamental systems of solutions are constructed with prescribed analytic and asymptotic properties. Behavior of the corresponding Stockes multipliers is established. These fundamental systems of solutions will be used for studying direct and inverse problems of spectral analysis.

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