Spectral Analysis on Graph-like Spaces

• Κύριος συγγραφέας: Post, Olaf (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2012.
• Σειρά: Lecture Notes in Mathematics, 2039
• Θέματα: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Functional analysis.; Operator theory.; Partial differential equations.; Graph theory.; Mathematical physics.; Analysis.; Functional Analysis.; Operator Theory.; Mathematical Physics.; Partial Differential Equations.; Graph Theory.

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-...

Πίνακας περιεχομένων:

• 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.