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arxiv: 0801.1376 · v1 · submitted 2008-01-09 · 🧮 math-ph · math.MP

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Eigenfunction expansion for Schrodinger operators on metric graphs

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classification 🧮 math-ph math.MP
keywords expansiongraphsmetricoperatorsschrodingerassumptionsboundaryconcerning
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We construct an expansion in generalized eigenfunctions for Schrodinger operators on metric graphs. We require rather minimal assumptions concerning the graph structure and the boundary conditions at the vertices.

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