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Spectral theory and its applications

Author: Bernard Helffer
Publisher: New York : Cambridge University Press, [2013]
Series: Cambridge studes in advanced mathematics, v. 139.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
"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"--
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Helffer, Bernard.
Spectral theory and its applications.
New York : Cambridge University Press, [2013]
(DLC) 2012028839
(OCoLC)808930335
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Bernard Helffer
ISBN: 9781139626095 1139626094 9781139505727 1139505726 9781139611213 1139611216 9781139613071 1139613073
OCLC Number: 821902840
Description: 1 online resource (255 pages) : illustrations.
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.
Series Title: Cambridge studes in advanced mathematics, v. 139.
Responsibility: Bernard Helffer.
More information:

Abstract:

Introduces the basic tools in spectral analysis using numerous examples from the Schroedinger operator theory and various branches of physics.  Read more...

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"It is written in a way well suited for a graduate course." Pavel V. Exner, Mathematical Reviews

 
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