Factorization theorem for the transfer function of a 2x2 operator matrix with unbounded couplings

Details Factorization theorem for the transfer function of a 2x2 operator matrix with unbounded couplings Factorization theorem for the transfer function of a 2x2 operator matrix with unbounded couplings

1999-12-29

arxiv.org/abs/math/9912220v1

Spectral and evolution problems (Natl. Taurida Univ. "V. Vernadsky", Simferopol') {\bf 10} (2000), 56-65

Mathematics

Spectral Theory

LaTeX2e, 14 pages, no figures

Scientific paper

We consider the analytic continuation of the transfer function associated with a 2x2 operator matrix having unbounded couplings into unphysical sheets of its Riemann surface. We construct a family of non-selfadjoint operators which factorize the transfer function and reproduce certain parts of its spectrum including the nonreal (resonance) spectrum situated in the unphysical sheets neighboring the physical sheet.

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