Spectral theory and its applications /
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| Author / Creator: | Helffer, Bernard. |
|---|---|
| Imprint: | Cambridge ; New York : Cambridge University Press, [2013] |
| Description: | v, 255 pages : illustrations ; 24 cm. |
| Language: | English |
| Series: | Cambridge studies in advanced mathematics ; 139 Cambridge studies in advanced mathematics ; 139. |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/9098945 |
MARC
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| 100 | 1 | |a Helffer, Bernard. |0 http://id.loc.gov/authorities/names/n78025911 |1 http://viaf.org/viaf/4994897 | |
| 245 | 1 | 0 | |a Spectral theory and its applications / |c Bernard Helffer, Université Paris-Sud. |
| 264 | 1 | |a Cambridge ; |a New York : |b Cambridge University Press, |c [2013] | |
| 300 | |a v, 255 pages : |b illustrations ; |c 24 cm. | ||
| 336 | |a text |2 rdacontent |0 http://id.loc.gov/vocabulary/contentTypes/txt | ||
| 337 | |a unmediated |2 rdamedia |0 http://id.loc.gov/vocabulary/mediaTypes/n | ||
| 338 | |a volume |2 rdacarrier |0 http://id.loc.gov/vocabulary/carriers/nc | ||
| 490 | 1 | |a Cambridge studies in advanced mathematics ; |v 139 | |
| 504 | |a Includes bibliographical references (pages 248-252) and index. | ||
| 520 | |a "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"-- P. [4] of cover. | ||
| 505 | 0 | |a 1. Introduction -- 2. Unbounded operators, adjoints, and self-adjoint operators -- 3. Representation theorem -- 4. Semibounded operators and the Friedrichs extension -- 5. Compact operators: general properties and examples -- 6. Spectral theory for bounded operators -- 7. Applications to statistical mechanics and partial differential equations -- 8. Self-adjoint unbounded operators and spectral theory -- 9. Essentially self-adjoint operators -- 10. Discrete spectrum, essential spectrum -- 11. The max-min principle -- 12. Special questions about the Rayleigh equation --13. Non-self adjoint operators and pseudospectra --14. Applications to non-self-adjoint one-dimensional models -- 15. Applications in kinetic theory: the Fokker-Planck operator -- 16. Problems. | |
| 650 | 0 | |a Spectral theory (Mathematics) |0 http://id.loc.gov/authorities/subjects/sh85126408 | |
| 650 | 7 | |a MATHEMATICS / General. |2 bisacsh | |
| 650 | 7 | |a Spectral theory (Mathematics) |2 fast |0 http://id.worldcat.org/fast/fst01129072 | |
| 830 | 0 | |a Cambridge studies in advanced mathematics ; |v 139. | |
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| 928 | |t Library of Congress classification |a QC20.7.S64 H45 2013 |l JCL |c JCL-Sci |i 1206871 | ||
| 927 | |t Library of Congress classification |a QC20.7.S64 H45 2013 |l JCL |c JCL-Sci |e CRERAR |b 107645535 |i 9156604 | ||
