Global Convergence Results

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


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.


Quadratic Form Essential Spectrum Vertex Neighbourhood Star Graph Discrete Eigenvalue 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Department of Mathematical Sciences Science LaboratoriesDurham UniversityDurhamUK

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