Spectral Analysis on Graph-like Spaces
Author:   Olaf Post
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   2012
Volume:   2039
ISBN:  

9783642238390


Pages:   431
Publication Date:   06 January 2012
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Spectral Analysis on Graph-like Spaces


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Full Product Details

Author:   Olaf Post
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   2012
Volume:   2039
Dimensions:   Width: 15.50cm , Height: 2.30cm , Length: 23.50cm
Weight:   0.688kg
ISBN:  

9783642238390


ISBN 10:   3642238394
Pages:   431
Publication Date:   06 January 2012
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

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.

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)


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)


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