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 selfadjoint 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  Selfadjoining unbounded operators and spectral theory  Essentially selfadjoint operators  The discrete and essential spectrum  The minmax principle  Spectral questions about the Rayleigh equation  Nonselfadjoint operators and pseudospectra  Applications to nonselfadjoint onedimensional models  Application in kinetic theory : the FokkerPlanck operator  Problems 
Summary 
"Bernard Helffer's graduatelevel introduction to the basic tools in spectral analysis is illustrated by numerous examples from the SchrÃ¶dinger operator theory and various branches of physics: statistical mechanics, superconductivity, fluid mechanics and kinetic theory. The later chapters also introduce non selfadjoint 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.) 

1139611216 

1139613073 

1139626094 (electronic bk.) 

9781139505727 (electronic bk.) 

9781139611213 

9781139613071 

9781139626095 (electronic bk.) 
