Cargando…
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 |
| Sumario: | 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. |
|---|---|
| Descripción Física: | 1 online resource (x, 302 pages) : illustrations |
| Bibliografía: | Includes bibliographical references (pages 299-300) and index. |
| ISBN: | 0511423500 9780511423505 9780511421105 0511421109 9780511423987 0511423985 9780511755170 0511755171 1107173981 9781107173989 1281775533 9781281775535 9786611775537 6611775536 0511421648 9780511421648 0511422962 9780511422966 |