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Titlebook: Operator Methods in Ordinary and Partial Differential Equations; S. Kovalevsky Sympos Sergio Albeverio,Nils Elander,Pavel Kurasov Conferenc

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Realizations of Herglotz-Nevanlinna Functions via ,-systemsAn extension of Brodskiĭ-CLivšic operator systems, involving an unbounded main operator and an additional orthogonal projection, is studied. It leads to new types of representation and realization results for certain classes of Herglotz-Nevanlinna functions and for the associated transfer functions.
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The Non-relativistic Scattering Problem for a Superposition of δ-potentialsThe two-body scattering problem is solved exactly for a single and a superposition of two δ-potentials. Conditions for the existence of bound states and resonances are investigated for these kinds of potentials.
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978-3-0348-9479-1Springer Basel AG 2002
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Operator Methods in Ordinary and Partial Differential Equations978-3-0348-8219-4Series ISSN 0255-0156 Series E-ISSN 2296-4878
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