Analysis on Lie groups: an introduction
The subject of analysis on Lie groups comprises an eclectic group of topics which can be treated from many different perspectives. This self-contained text concentrates on the perspective of analysis, to the topics and methods of non-commutative harmonic analysis, assuming only elementary knowledge...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2010
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| Schriftenreihe: | Cambridge studies in advanced mathematics
110 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UBR01 UER01 Volltext |
| Zusammenfassung: | The subject of analysis on Lie groups comprises an eclectic group of topics which can be treated from many different perspectives. This self-contained text concentrates on the perspective of analysis, to the topics and methods of non-commutative harmonic analysis, assuming only elementary knowledge of linear algebra and basic differential calculus. The author avoids unessential technical discussions and instead describes in detail many interesting examples, including formulae which have not previously appeared in book form. Topics covered include the Haar measure and invariant integration, spherical harmonics, Fourier analysis and the heat equation, Poisson kernel, the Laplace equation and harmonic functions. Perfect for advanced undergraduates and graduates in geometric analysis, harmonic analysis and representation theory, the tools developed will also be useful for specialists in stochastic calculation and the statisticians. With numerous exercises and worked examples, the text is ideal for a graduate course on analysis on Lie groups |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9780511755170 |
| DOI: | 10.1017/CBO9780511755170 |
Internformat
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| 520 | |a The subject of analysis on Lie groups comprises an eclectic group of topics which can be treated from many different perspectives. This self-contained text concentrates on the perspective of analysis, to the topics and methods of non-commutative harmonic analysis, assuming only elementary knowledge of linear algebra and basic differential calculus. The author avoids unessential technical discussions and instead describes in detail many interesting examples, including formulae which have not previously appeared in book form. Topics covered include the Haar measure and invariant integration, spherical harmonics, Fourier analysis and the heat equation, Poisson kernel, the Laplace equation and harmonic functions. Perfect for advanced undergraduates and graduates in geometric analysis, harmonic analysis and representation theory, the tools developed will also be useful for specialists in stochastic calculation and the statisticians. With numerous exercises and worked examples, the text is ideal for a graduate course on analysis on Lie groups | ||
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Datensatz im Suchindex
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| spelling | Faraut, Jacques 1940- Verfasser (DE-588)108109577 aut Analysis on Lie groups an introduction Jacques Faraut Cambridge Cambridge University Press 2010 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Cambridge studies in advanced mathematics 110 The subject of analysis on Lie groups comprises an eclectic group of topics which can be treated from many different perspectives. This self-contained text concentrates on the perspective of analysis, to the topics and methods of non-commutative harmonic analysis, assuming only elementary knowledge of linear algebra and basic differential calculus. The author avoids unessential technical discussions and instead describes in detail many interesting examples, including formulae which have not previously appeared in book form. Topics covered include the Haar measure and invariant integration, spherical harmonics, Fourier analysis and the heat equation, Poisson kernel, the Laplace equation and harmonic functions. Perfect for advanced undergraduates and graduates in geometric analysis, harmonic analysis and representation theory, the tools developed will also be useful for specialists in stochastic calculation and the statisticians. With numerous exercises and worked examples, the text is ideal for a graduate course on analysis on Lie groups Lie groups Lie algebras Lie-Gruppe (DE-588)4035695-4 gnd rswk-swf Analysis (DE-588)4001865-9 gnd rswk-swf 1\p (DE-588)4151278-9 Einführung gnd-content Lie-Gruppe (DE-588)4035695-4 s Analysis (DE-588)4001865-9 s DE-604 Erscheint auch als Druck-Ausgabe, Hardcover 978-0-521-71930-8 Cambridge studies in advanced mathematics 110 (DE-604)BV044781283 110 https://doi.org/10.1017/CBO9780511755170 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Faraut, Jacques 1940- Analysis on Lie groups an introduction Cambridge studies in advanced mathematics Lie groups Lie algebras Lie-Gruppe (DE-588)4035695-4 gnd Analysis (DE-588)4001865-9 gnd |
| subject_GND | (DE-588)4035695-4 (DE-588)4001865-9 (DE-588)4151278-9 |
| title | Analysis on Lie groups an introduction |
| title_auth | Analysis on Lie groups an introduction |
| title_exact_search | Analysis on Lie groups an introduction |
| title_full | Analysis on Lie groups an introduction Jacques Faraut |
| title_fullStr | Analysis on Lie groups an introduction Jacques Faraut |
| title_full_unstemmed | Analysis on Lie groups an introduction Jacques Faraut |
| title_short | Analysis on Lie groups |
| title_sort | analysis on lie groups an introduction |
| title_sub | an introduction |
| topic | Lie groups Lie algebras Lie-Gruppe (DE-588)4035695-4 gnd Analysis (DE-588)4001865-9 gnd |
| topic_facet | Lie groups Lie algebras Lie-Gruppe Analysis Einführung |
| url | https://doi.org/10.1017/CBO9780511755170 |
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