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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© 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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DOI: https://doi.org/10.1007/978-3-642-23840-6_7
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-23839-0
Online ISBN: 978-3-642-23840-6
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