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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