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Author Helffer, Bernard.

Title Spectral theory and its applications / Bernard Helffer
Published New York : Cambridge University Press, [2013]
Online access available from:
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Description 1 online resource (255 pages) : illustrations
Series Cambridge studies in advanced mathematics ; 139
Cambridge studes in advanced mathematics ; v. 139
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
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"-- Provided by publisher
Bibliography Includes bibliographical references and index
Notes Print version record
Subject Spectral theory (Mathematics)
Form Electronic book
ISBN 1139505726 (electronic bk.)
1139626094 (electronic bk.)
9781139505727 (electronic bk.)
9781139626095 (electronic bk.)