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Spectral analysis on graph-like spaces

Annotation 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 (&qu...

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Bibliographic Details
Main Author: Post, Olaf
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin ; New York : Springer, ©2012.
Berlin ; New York : [2012]
Series:Lecture notes in mathematics (Springer-Verlag) ; 2039.
Physical Description:
1 online resource (xv, 431 pages).
Subjects:
Online Access:SpringerLink - Click here for access
Contents:
  • Introduction
  • Graphs and associated laplacians
  • Scales of hilbert space and boundary triples
  • Two operators in different hilbert spaces
  • Manifolds, tubular neighborhoods and their perturbations
  • Plumber's shop: estimates for star graphs and related spaces
  • Global convergence results.