Spectral theory and its applications:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge [u.a.]
Cambridge Univ. Press
2013
|
| Ausgabe: | 1. publ. |
| Schriftenreihe: | Cambridge studies in advanced mathematics
139 |
| Schlagworte: | |
| Online-Zugang: | Cover image Inhaltsverzeichnis |
| Beschreibung: | "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. |
| Beschreibung: | V, 255 S. graph. Darst. |
| ISBN: | 9781107032309 |
Internformat
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| 490 | 1 | |a Cambridge studies in advanced mathematics |v 139 | |
| 500 | |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"-- Provided by publisher. | ||
| 650 | 4 | |a Spectral theory (Mathematics) | |
| 650 | 7 | |a MATHEMATICS / General |2 bisacsh | |
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Datensatz im Suchindex
| _version_ | 1804150009869893632 |
|---|---|
| adam_text | Titel: Spectral theory and its applications
Autor: Helffer, Bernard
Jahr: 2013
Contents
1 Introduction page 1
2 Unbounded Operators, adjoints, and self-adjoint Operators 11
3 Representation theorems 22
4 Semibounded Operators and the Friedrichs extension 29
5 Compact Operators: general properties and examples 42
6 Spectral theory for bounded Operators 48
7 Applications to Statistical mechanics and partial
differential equations 77
8 Self-adjoint unbounded Operators and spectral theory 98
9 Essentially self-adjoint Operators 119
10 The discrete spectrum and essential spectrum 132
11 The max-min principle 141
12 Spectral questions about the Rayleigh equation 154
13 Non-self-adjoint Operators and pseudospectra 164
14 Applications to non-self-adjoint one-dimensional modeis 188
15 Applications in kinetic theory: the Fokker-Planck
Operator 216
16 Problems 234
Bibliography 248
Index 253
|
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| author | Helffer, Bernard 1949- |
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| callnumber-subject | QC - Physics |
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| classification_tum | MAT 358f MAT 356f |
| ctrlnum | (OCoLC)827088668 (DE-599)BVBBV040705384 |
| dewey-full | 515/.7222 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.7222 |
| dewey-search | 515/.7222 |
| dewey-sort | 3515 47222 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV040705384 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T00:32:07Z |
| institution | BVB |
| isbn | 9781107032309 |
| language | English |
| lccn | 2012028839 |
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| physical | V, 255 S. graph. Darst. |
| publishDate | 2013 |
| publishDateSearch | 2013 |
| publishDateSort | 2013 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| series | Cambridge studies in advanced mathematics |
| series2 | Cambridge studies in advanced mathematics |
| spelling | Helffer, Bernard 1949- Verfasser (DE-588)1031664645 aut Spectral theory and its applications Bernard Helffer 1. publ. Cambridge [u.a.] Cambridge Univ. Press 2013 V, 255 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Cambridge studies in advanced mathematics 139 "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. Spectral theory (Mathematics) MATHEMATICS / General bisacsh Spektraltheorie (DE-588)4116561-5 gnd rswk-swf Spektraltheorie (DE-588)4116561-5 s DE-604 Cambridge studies in advanced mathematics 139 (DE-604)BV000003678 139 http://assets.cambridge.org/97811070/32309/cover/9781107032309.jpg Cover image HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025685834&sequence=000004&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Helffer, Bernard 1949- Spectral theory and its applications Cambridge studies in advanced mathematics Spectral theory (Mathematics) MATHEMATICS / General bisacsh Spektraltheorie (DE-588)4116561-5 gnd |
| subject_GND | (DE-588)4116561-5 |
| title | Spectral theory and its applications |
| title_auth | Spectral theory and its applications |
| title_exact_search | Spectral theory and its applications |
| title_full | Spectral theory and its applications Bernard Helffer |
| title_fullStr | Spectral theory and its applications Bernard Helffer |
| title_full_unstemmed | Spectral theory and its applications Bernard Helffer |
| title_short | Spectral theory and its applications |
| title_sort | spectral theory and its applications |
| topic | Spectral theory (Mathematics) MATHEMATICS / General bisacsh Spektraltheorie (DE-588)4116561-5 gnd |
| topic_facet | Spectral theory (Mathematics) MATHEMATICS / General Spektraltheorie |
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