Book contents
- Frontmatter
- Contents
- Introduction
- 1 Local symplectic geometry
- 2 The WKB-method
- 3 The WKB-method for a potential minimum
- 4 Self-adjoint operators
- 5 The method of stationary phase
- 6 Tunnel effect and interaction matrix
- 7 h-pseudodifferential operators
- 8 Functional calculus for pseudodifferential operators
- 9 Trace class operators and applications of the functional calculus
- 10 More precise spectral asymptotics for non-critical Hamiltonians
- 11 Improvement when the periodic trajectories form a set of measure 0
- 12 A more general study of the trace
- 13 Spectral theory for perturbed periodic problems
- 14 Normal forms for some scalar pseudodifferential operators
- 15 Spectrum of operators with periodic bicharacteristics
- References
- Index
- Index of notation
8 - Functional calculus for pseudodifferential operators
Published online by Cambridge University Press: 17 March 2010
- Frontmatter
- Contents
- Introduction
- 1 Local symplectic geometry
- 2 The WKB-method
- 3 The WKB-method for a potential minimum
- 4 Self-adjoint operators
- 5 The method of stationary phase
- 6 Tunnel effect and interaction matrix
- 7 h-pseudodifferential operators
- 8 Functional calculus for pseudodifferential operators
- 9 Trace class operators and applications of the functional calculus
- 10 More precise spectral asymptotics for non-critical Hamiltonians
- 11 Improvement when the periodic trajectories form a set of measure 0
- 12 A more general study of the trace
- 13 Spectral theory for perturbed periodic problems
- 14 Normal forms for some scalar pseudodifferential operators
- 15 Spectrum of operators with periodic bicharacteristics
- References
- Index
- Index of notation
Summary
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- Information
- Spectral Asymptotics in the Semi-Classical Limit , pp. 93 - 110Publisher: Cambridge University PressPrint publication year: 1999