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Spectral Analysis on Graph-like Spaces (Record no. 29408)

000 -LEADER
fixed length control field 02910nam a22005055i 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20140310154226.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 120104s2012 gw | s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783642238406
978-3-642-23840-6
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA299.6-433
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515
Edition number 23
264 #1 -
-- Berlin, Heidelberg :
-- Springer Berlin Heidelberg,
-- 2012.
912 ## -
-- ZDB-2-SMA
-- ZDB-2-LNM
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Post, Olaf.
Relator term author.
245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE
Title Spectral Analysis on Graph-like Spaces
Medium [electronic resource] /
Statement of responsibility, etc by Olaf Post.
300 ## - PHYSICAL DESCRIPTION
Extent XV, 431p. 28 illus.
Other physical details online resource.
440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE
Title Lecture Notes in Mathematics,
International Standard Serial Number 0075-8434 ;
Volume number/sequential designation 2039
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note 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.
520 ## - SUMMARY, ETC.
Summary, etc 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-like spaces''), and their natural limits on metric graphs. In particular, we explore norm resolvent convergence, convergence of the spectra and resonances.   Since the underlying spaces in the thin radius limit change, and become singular in the limit, we develop new tools such as   -norm convergence of operators acting in different Hilbert  spaces,   - an extension of the concept of boundary triples to partial  differential operators, and   -an abstract definition of resonances via boundary triples.   These tools are formulated in an abstract framework, independent of the original problem of graph-like spaces, so that they can be applied in many other situations where the spaces are perturbed.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
Topical term or geographic name as entry element Global analysis (Mathematics).
Topical term or geographic name as entry element Functional analysis.
Topical term or geographic name as entry element Operator theory.
Topical term or geographic name as entry element Differential equations, partial.
Topical term or geographic name as entry element Mathematics.
Topical term or geographic name as entry element Analysis.
Topical term or geographic name as entry element Functional Analysis.
Topical term or geographic name as entry element Operator Theory.
Topical term or geographic name as entry element Mathematical Physics.
Topical term or geographic name as entry element Partial Differential Equations.
Topical term or geographic name as entry element Graph Theory.
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9783642238390
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://dx.doi.org/10.1007/978-3-642-23840-6
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Item type E-Book
Copies
Price effective from Permanent location Date last seen Not for loan Date acquired Source of classification or shelving scheme Koha item type Damaged status Lost status Withdrawn status Current location Full call number
2014-03-27AUM Main Library2014-03-27 2014-03-27 E-Book   AUM Main Library515
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