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Global Convergence Results

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Part of the Lecture Notes in Mathematics book series (LNM,volume 2039)

Abstract

In this final chapter, we prove convergence results for general metric graphs and the associated graph-like manifolds. In particular, we show resolvent convergence, convergence of the discrete and essential spectrum and of resonances.

Keywords

  • Quadratic Form
  • Essential Spectrum
  • Vertex Neighbourhood
  • Star Graph
  • Discrete Eigenvalue

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Correspondence to Olaf Post .

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© 2012 Springer-Verlag Berlin Heidelberg

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Post, O. (2012). Global Convergence Results. In: Spectral Analysis on Graph-like Spaces. Lecture Notes in Mathematics(), vol 2039. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23840-6_7

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