The Resource Spectral analysis on graphlike spaces, Olaf Post
Spectral analysis on graphlike spaces, Olaf Post
Resource Information
The item Spectral analysis on graphlike spaces, Olaf Post represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Spectral analysis on graphlike spaces, Olaf Post represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Summary
 Annotation Smallradius 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 Laplacelike operators on thin tubular structures ("graphlike 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 graphlike spaces, so that they can be applied in many other situations where the spaces are perturbed
 Language
 eng
 Extent
 1 online resource (xv, 431 pages).
 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
 Isbn
 9783642238390
 Label
 Spectral analysis on graphlike spaces
 Title
 Spectral analysis on graphlike spaces
 Statement of responsibility
 Olaf Post
 Language
 eng
 Summary
 Annotation Smallradius 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 Laplacelike operators on thin tubular structures ("graphlike 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 graphlike spaces, so that they can be applied in many other situations where the spaces are perturbed
 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 graphlike spaces, Olaf Post
 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
 10.1007/9783642238406
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)773291052
 Label
 Spectral analysis on graphlike spaces, Olaf Post
 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
 10.1007/9783642238406
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)773291052
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/SpectralanalysisongraphlikespacesOlaf/Ykyg97No0SI/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/SpectralanalysisongraphlikespacesOlaf/Ykyg97No0SI/">Spectral analysis on graphlike spaces, Olaf Post</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>