Harmonic analysis in phase space:
This book provides the first coherent account of the area of analysis that involves the Heisenberg group, quantization, the Weyl calculus, the metaplectic representation, wave packets, and related concepts. This circle of ideas comes principally from mathematical physics, partial differential equati...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton, NJ
Princeton University Press
[1989]
|
| Schriftenreihe: | Annals of Mathematics Studies
number 122 |
| Schlagworte: | |
| Online-Zugang: | UER01 Volltext |
| Zusammenfassung: | This book provides the first coherent account of the area of analysis that involves the Heisenberg group, quantization, the Weyl calculus, the metaplectic representation, wave packets, and related concepts. This circle of ideas comes principally from mathematical physics, partial differential equations, and Fourier analysis, and it illuminates all these subjects. The principal features of the book are as follows: a thorough treatment of the representations of the Heisenberg group, their associated integral transforms, and the metaplectic representation; an exposition of the Weyl calculus of pseudodifferential operators, with emphasis on ideas coming from harmonic analysis and physics; a discussion of wave packet transforms and their applications; and a new development of Howe's theory of the oscillator semigroup |
| Beschreibung: | Description based on online resource; title from PDF title page (publisher's Web site, viewed Jul. 04., 2016) |
| Beschreibung: | 1 online resource |
| ISBN: | 9781400882427 |
| DOI: | 10.1515/9781400882427 |
Internformat
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| 245 | 1 | 0 | |a Harmonic analysis in phase space |c Gerald B. Folland |
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| 490 | 1 | |a Annals of Mathematics Studies |v number 122 | |
| 500 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed Jul. 04., 2016) | ||
| 520 | |a This book provides the first coherent account of the area of analysis that involves the Heisenberg group, quantization, the Weyl calculus, the metaplectic representation, wave packets, and related concepts. This circle of ideas comes principally from mathematical physics, partial differential equations, and Fourier analysis, and it illuminates all these subjects. The principal features of the book are as follows: a thorough treatment of the representations of the Heisenberg group, their associated integral transforms, and the metaplectic representation; an exposition of the Weyl calculus of pseudodifferential operators, with emphasis on ideas coming from harmonic analysis and physics; a discussion of wave packet transforms and their applications; and a new development of Howe's theory of the oscillator semigroup | ||
| 546 | |a In English | ||
| 650 | 4 | |a Harmonic analysis | |
| 650 | 4 | |a Phase space (Statistical physics) | |
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Datensatz im Suchindex
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| author | Folland, Gerald B. 1947- |
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| author_sort | Folland, Gerald B. 1947- |
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| dewey-full | 530.1/3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.1/3 |
| dewey-search | 530.1/3 |
| dewey-sort | 3530.1 13 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| doi_str_mv | 10.1515/9781400882427 |
| format | Electronic eBook |
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| id | DE-604.BV043712502 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:33:08Z |
| institution | BVB |
| isbn | 9781400882427 |
| language | English |
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| publishDate | 1989 |
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| series | Annals of Mathematics Studies |
| series2 | Annals of Mathematics Studies |
| spelling | Folland, Gerald B. 1947- (DE-588)137062486 aut Harmonic analysis in phase space Gerald B. Folland Princeton, NJ Princeton University Press [1989] © 1989 1 online resource txt rdacontent c rdamedia cr rdacarrier Annals of Mathematics Studies number 122 Description based on online resource; title from PDF title page (publisher's Web site, viewed Jul. 04., 2016) This book provides the first coherent account of the area of analysis that involves the Heisenberg group, quantization, the Weyl calculus, the metaplectic representation, wave packets, and related concepts. This circle of ideas comes principally from mathematical physics, partial differential equations, and Fourier analysis, and it illuminates all these subjects. The principal features of the book are as follows: a thorough treatment of the representations of the Heisenberg group, their associated integral transforms, and the metaplectic representation; an exposition of the Weyl calculus of pseudodifferential operators, with emphasis on ideas coming from harmonic analysis and physics; a discussion of wave packet transforms and their applications; and a new development of Howe's theory of the oscillator semigroup In English Harmonic analysis Phase space (Statistical physics) Phasenraum (DE-588)4139912-2 gnd rswk-swf Harmonische Analyse (DE-588)4023453-8 gnd rswk-swf Harmonische Analyse (DE-588)4023453-8 s Phasenraum (DE-588)4139912-2 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 0-691-08527-7 Annals of Mathematics Studies number 122 (DE-604)BV040389493 122 https://doi.org/10.1515/9781400882427 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Folland, Gerald B. 1947- Harmonic analysis in phase space Annals of Mathematics Studies Harmonic analysis Phase space (Statistical physics) Phasenraum (DE-588)4139912-2 gnd Harmonische Analyse (DE-588)4023453-8 gnd |
| subject_GND | (DE-588)4139912-2 (DE-588)4023453-8 |
| title | Harmonic analysis in phase space |
| title_auth | Harmonic analysis in phase space |
| title_exact_search | Harmonic analysis in phase space |
| title_full | Harmonic analysis in phase space Gerald B. Folland |
| title_fullStr | Harmonic analysis in phase space Gerald B. Folland |
| title_full_unstemmed | Harmonic analysis in phase space Gerald B. Folland |
| title_short | Harmonic analysis in phase space |
| title_sort | harmonic analysis in phase space |
| topic | Harmonic analysis Phase space (Statistical physics) Phasenraum (DE-588)4139912-2 gnd Harmonische Analyse (DE-588)4023453-8 gnd |
| topic_facet | Harmonic analysis Phase space (Statistical physics) Phasenraum Harmonische Analyse |
| url | https://doi.org/10.1515/9781400882427 |
| volume_link | (DE-604)BV040389493 |
| work_keys_str_mv | AT follandgeraldb harmonicanalysisinphasespace |