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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge, UK ; New York :
Cambridge University Press,
2008.
|
| Colección: | Cambridge studies in advanced mathematics ;
110. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Faraut, Jacques, |d 1940- | |
| 245 | 1 | 0 | |a Analysis on Lie groups : |b an introduction / |c Jacques Faraut. |
| 260 | |a Cambridge, UK ; |a New York : |b Cambridge University Press, |c 2008. | ||
| 300 | |a 1 online resource (x, 302 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 490 | 1 | |a Cambridge studies in advanced mathematics ; |v 110 | |
| 504 | |a Includes bibliographical references (pages 299-300) and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a The linear group -- The exponential map -- Linear Lie groups -- Lie algebras -- Haar measure -- Representations of compact groups -- The groups SU(2) and SO(3), Haar measure -- Analysis on the group SU(2) -- Analysis on the sphere and the Euclidean space -- Analysis on the spaces of symmetric and Hermitian matrices -- Irreducible representations of the unitary group -- Analysis on the unitary group. | |
| 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. | ||
| 546 | |a English. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Lie groups. | |
| 650 | 0 | |a Lie algebras. | |
| 650 | 6 | |a Groupes de Lie. | |
| 650 | 6 | |a Algèbres de Lie. | |
| 650 | 7 | |a MATHEMATICS |x Algebra |x Intermediate. |2 bisacsh | |
| 650 | 7 | |a Lie algebras |2 fast | |
| 650 | 7 | |a Lie groups |2 fast | |
| 776 | 0 | 8 | |i Print version: |a Faraut, Jacques, 1940- |t Analysis on Lie groups. |d Cambridge, UK ; New York : Cambridge University Press, 2008 |w (DLC) 2007053046 |
| 830 | 0 | |a Cambridge studies in advanced mathematics ; |v 110. | |
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