Spectral Analysis on Graph-like Spaces
Small-radius tubular structures have attracted considerable attention in the last few years, and are frequently used in different areas such as Mathematical Physics, Spectral Geometry and Global Analysis. In this monograph, we analyse Laplace-like operators on thin tubular structures ("graph-...
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| Format: | eBook |
| Language: | English |
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Berlin, Heidelberg
Springer Berlin Heidelberg
2012, 2012
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| Edition: | 1st ed. 2012 |
| Series: | Lecture Notes in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- 1 Introduction
- 2 Graphs and associated Laplacians
- 3 Scales of Hilbert space and boundary triples
- 4 Two operators in different Hilbert spaces
- 5 Manifolds, tubular neighbourhoods and their perturbations
- 6 Plumber’s shop: Estimates for star graphs and related spaces
- 7 Global convergence results