Authors:
- A thorough analysis of quantum graphs and their approximations (graph-like spaces)
- A self-contained explanation of the tools needed (convergence of operators in different spaces, boundary triples)
- The book is accessible for a graduate student with some knowledge in functional analysis and operators on Hilbert spaces
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2039)
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Table of contents (7 chapters)
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Front Matter
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Back Matter
About this book
Reviews
From the reviews:
“The monograph introduces into the asymptotic analysis of graph-like spaces in the 0-thickness limit and the convergence of associated operators and related objects. … The author has succeeded to present an extensive self-contained account of a variety of results of both pure and applied character in a way to be very useful for a graduate course or seminar. It is a very successful publication in an active area of interdisciplinary research, where spectral analysis, graph-like spaces and applications interact in a beautiful manner.” (Themistocles M. Rassias, Zentralblatt MATH, Vol. 1247, 2012)
“The book represents a valuable contribution to the literature, presenting both its author’s significant contribution to this field and a broad overview of the work done by others. It will be useful to everybody interested in dynamics the quantum one in the first place on such configuration spaces and its numerous applications.” (Pavel V. Exner, Mathematical Reviews, January, 2013)
Authors and Affiliations
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Department of Mathematical Sciences, Science Laboratories, Durham University, Durham, United Kingdom
Olaf Post
Bibliographic Information
Book Title: Spectral Analysis on Graph-like Spaces
Authors: Olaf Post
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-642-23840-6
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2012
Softcover ISBN: 978-3-642-23839-0Published: 06 January 2012
eBook ISBN: 978-3-642-23840-6Published: 05 January 2012
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XV, 431
Number of Illustrations: 28 b/w illustrations
Topics: Analysis, Functional Analysis, Operator Theory, Mathematical Physics, Partial Differential Equations, Graph Theory