- 99-489 V.Hardt, R. Mennicken, A. K. Motovilov
- Factorization Theorem for the Transfer Function
of a $2\times2$ Operator Matrix with Unbounded Couplings
(168K, PostScript)
Dec 30, 99
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Abstract. We consider the analytic continuation of the transfer function
associated with a $2\times2$ 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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