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arxiv: math-ph/0408021 · v1 · submitted 2004-08-12 · 🧮 math-ph · math.FA· math.MP

A remark on Krein's resolvent formula and boundary conditions

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keywords boundaryconditionsformulakreinresolventanalogapplicationsdiscussed
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We prove an analog of Krein's resolvent formula expressing the resolvents of self-adjoint extensions in terms of boundary conditions. Applications to quantum graphs and systems with point interactions are discussed.

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