Spectral theory and its applications /:
"Bernard Helffer's graduate-level introduction to the basic tools in spectral analysis is illustrated by numerous examples from the Schrödinger operator theory and various branches of physics: statistical mechanics, superconductivity, fluid mechanics and kinetic theory. The later chapters...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York :
Cambridge University Press,
[2013]
|
| Schriftenreihe: | Cambridge studes in advanced mathematics ;
v. 139. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | "Bernard Helffer's graduate-level introduction to the basic tools in spectral analysis is illustrated by numerous examples from the Schrödinger operator theory and various branches of physics: statistical mechanics, superconductivity, fluid mechanics and kinetic theory. The later chapters also introduce non self-adjoint operator theory with an emphasis on the role of the pseudospectra"-- |
| Beschreibung: | 1 online resource (255 pages) : illustrations |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9781139626095 1139626094 9781139505727 1139505726 9781139611213 1139611216 9781139613071 1139613073 |
Internformat
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| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | 0 | |t Unbound operators, adjoints, and self-adjoint operators -- |t Representation theorems -- |t Semibounded operators and the Friedrichs extension -- |t Compact operators : general properties and examples -- |t Spectral theory for bounded operators -- |t Application to statistical mechanics and partial differential equations -- |t Self-adjoining unbounded operators and spectral theory -- |t Essentially self-adjoint operators -- |t The discrete and essential spectrum -- |t The min-max principle -- |t Spectral questions about the Rayleigh equation -- |t Non-self-adjoint operators and pseudospectra -- |t Applications to non-self-adjoint one-dimensional models -- |t Application in kinetic theory : the Fokker-Planck operator -- |t Problems. |
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| author | Helffer, Bernard |
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| contents | Unbound operators, adjoints, and self-adjoint operators -- Representation theorems -- Semibounded operators and the Friedrichs extension -- Compact operators : general properties and examples -- Spectral theory for bounded operators -- Application to statistical mechanics and partial differential equations -- Self-adjoining unbounded operators and spectral theory -- Essentially self-adjoint operators -- The discrete and essential spectrum -- The min-max principle -- Spectral questions about the Rayleigh equation -- Non-self-adjoint operators and pseudospectra -- Applications to non-self-adjoint one-dimensional models -- Application in kinetic theory : the Fokker-Planck operator -- Problems. |
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| illustrated | Illustrated |
| indexdate | 2024-11-27T13:25:06Z |
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| isbn | 9781139626095 1139626094 9781139505727 1139505726 9781139611213 1139611216 9781139613071 1139613073 |
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| physical | 1 online resource (255 pages) : illustrations |
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| publishDate | 2013 |
| publishDateSearch | 2013 |
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| publisher | Cambridge University Press, |
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| series | Cambridge studes in advanced mathematics ; |
| series2 | Cambridge studies in advanced mathematics ; |
| spelling | Helffer, Bernard. http://id.loc.gov/authorities/names/n78025911 Spectral theory and its applications / Bernard Helffer. New York : Cambridge University Press, [2013] 1 online resource (255 pages) : illustrations text txt rdacontent c rdamedia online resource cr rdacarrier Cambridge studies in advanced mathematics ; 139 "Bernard Helffer's graduate-level introduction to the basic tools in spectral analysis is illustrated by numerous examples from the Schrödinger operator theory and various branches of physics: statistical mechanics, superconductivity, fluid mechanics and kinetic theory. The later chapters also introduce non self-adjoint operator theory with an emphasis on the role of the pseudospectra"-- Provided by publisher. Print version record. Includes bibliographical references and index. Unbound operators, adjoints, and self-adjoint operators -- Representation theorems -- Semibounded operators and the Friedrichs extension -- Compact operators : general properties and examples -- Spectral theory for bounded operators -- Application to statistical mechanics and partial differential equations -- Self-adjoining unbounded operators and spectral theory -- Essentially self-adjoint operators -- The discrete and essential spectrum -- The min-max principle -- Spectral questions about the Rayleigh equation -- Non-self-adjoint operators and pseudospectra -- Applications to non-self-adjoint one-dimensional models -- Application in kinetic theory : the Fokker-Planck operator -- Problems. Spectral theory (Mathematics) http://id.loc.gov/authorities/subjects/sh85126408 Spectre (Mathématiques) MATHEMATICS General. bisacsh MATHEMATICS Functional Analysis. bisacsh Análisis funcional embne Spectral theory (Mathematics) fast Spektraltheorie gnd Print version: Helffer, Bernard. Spectral theory and its applications. New York : Cambridge University Press, [2013] 9781107032309 (DLC) 2012028839 (OCoLC)808930335 Cambridge studes in advanced mathematics ; v. 139. FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=508941 Volltext |
| spellingShingle | Helffer, Bernard Spectral theory and its applications / Cambridge studes in advanced mathematics ; Unbound operators, adjoints, and self-adjoint operators -- Representation theorems -- Semibounded operators and the Friedrichs extension -- Compact operators : general properties and examples -- Spectral theory for bounded operators -- Application to statistical mechanics and partial differential equations -- Self-adjoining unbounded operators and spectral theory -- Essentially self-adjoint operators -- The discrete and essential spectrum -- The min-max principle -- Spectral questions about the Rayleigh equation -- Non-self-adjoint operators and pseudospectra -- Applications to non-self-adjoint one-dimensional models -- Application in kinetic theory : the Fokker-Planck operator -- Problems. Spectral theory (Mathematics) http://id.loc.gov/authorities/subjects/sh85126408 Spectre (Mathématiques) MATHEMATICS General. bisacsh MATHEMATICS Functional Analysis. bisacsh Análisis funcional embne Spectral theory (Mathematics) fast Spektraltheorie gnd |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85126408 |
| title | Spectral theory and its applications / |
| title_alt | Unbound operators, adjoints, and self-adjoint operators -- Representation theorems -- Semibounded operators and the Friedrichs extension -- Compact operators : general properties and examples -- Spectral theory for bounded operators -- Application to statistical mechanics and partial differential equations -- Self-adjoining unbounded operators and spectral theory -- Essentially self-adjoint operators -- The discrete and essential spectrum -- The min-max principle -- Spectral questions about the Rayleigh equation -- Non-self-adjoint operators and pseudospectra -- Applications to non-self-adjoint one-dimensional models -- Application in kinetic theory : the Fokker-Planck operator -- Problems. |
| title_auth | Spectral theory and its applications / |
| title_exact_search | Spectral theory and its applications / |
| title_full | Spectral theory and its applications / Bernard Helffer. |
| title_fullStr | Spectral theory and its applications / Bernard Helffer. |
| title_full_unstemmed | Spectral theory and its applications / Bernard Helffer. |
| title_short | Spectral theory and its applications / |
| title_sort | spectral theory and its applications |
| topic | Spectral theory (Mathematics) http://id.loc.gov/authorities/subjects/sh85126408 Spectre (Mathématiques) MATHEMATICS General. bisacsh MATHEMATICS Functional Analysis. bisacsh Análisis funcional embne Spectral theory (Mathematics) fast Spektraltheorie gnd |
| topic_facet | Spectral theory (Mathematics) Spectre (Mathématiques) MATHEMATICS General. MATHEMATICS Functional Analysis. Análisis funcional Spektraltheorie |
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