Coverart for item
The Resource Spectral analysis on graph-like spaces, Olaf Post

Spectral analysis on graph-like spaces, Olaf Post

Label
Spectral analysis on graph-like spaces
Title
Spectral analysis on graph-like spaces
Statement of responsibility
Olaf Post
Creator
Subject
Language
eng
Summary
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 ("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
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Post, Olaf
Dewey number
515/.782
Index
index present
Language note
English
LC call number
QA689
LC item number
.P67 2012
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Lecture notes in mathematics,
Series volume
2039
http://library.link/vocab/subjectName
  • Generalized spaces
  • Generalized spaces
  • Analysis
Label
Spectral analysis on graph-like spaces, Olaf Post
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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
Control code
773291052
Dimensions
unknown
Extent
1 online resource (xv, 431 pages).
File format
unknown
Form of item
online
Isbn
9783642238390
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-642-23840-6
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)773291052
Label
Spectral analysis on graph-like spaces, Olaf Post
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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
Control code
773291052
Dimensions
unknown
Extent
1 online resource (xv, 431 pages).
File format
unknown
Form of item
online
Isbn
9783642238390
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-642-23840-6
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)773291052

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