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Continuous linear representations /
This monograph gives access to the theory of continuous linear representations of general real Lie groups to readers who are already familiar with the rudiments of functional analysis and Lie groups. The first half of the book is centered around the relation between a continuous linear representatio...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Amsterdam ; New York : New York, N.Y., U.S.A. :
North-Holland ; Distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.,
1992.
|
| Colección: | North-Holland mathematics studies ;
168. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo Texto completo |
MARC
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| 100 | 1 | |a Magyar, Zolt�an. | |
| 245 | 1 | 0 | |a Continuous linear representations / |c Zolt�an Magyar. |
| 260 | |a Amsterdam ; |a New York : |b North-Holland ; |a New York, N.Y., U.S.A. : |b Distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., |c 1992. | ||
| 300 | |a 1 online resource (vii, 301 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a North-Holland mathematics studies ; |v 168 | |
| 520 | |a This monograph gives access to the theory of continuous linear representations of general real Lie groups to readers who are already familiar with the rudiments of functional analysis and Lie groups. The first half of the book is centered around the relation between a continuous linear representation (of a Lie group over a Banach space or even a more general space) and its tangent; the latter is a Lie algebra representation in a sense. Starting with the Hille-Yosida theory, quite recent results are reached. The second half is more standard unitary theory with applications concerning the Galilean and Poinca�r groups. Appendices help readers with diverse backgrounds to find the precise descriptions of the concepts needed from earlier literature. Each chapter includes exercises. | ||
| 504 | |a Includes bibliographical references (pages 283-290) and indexes. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Front Cover; Continuous Linear Representations; Copyright Page; Contents; Preface; Chapter 0. Introduction; Chapter 1. The Hille-Yosida Theory; Chapter 2. Convolution and Regularization; Chapter 3. Smooth Vectors; Chapter 4. Analytic Mollifying; Chapter 5. The Integrability Problem; Chapter 6. Compact Groups; Chapter 7. Commutative Groups; Chapter 8. Induced Representations; Chapter 9. Projective Representations; Chapter 10. The Galilean and Poincare Groups; Appendix; A. Topology; B. Measure and Integration; C. Functional Analysis; D. Analytic Mappings | |
| 505 | 8 | |a E. Manifolds, Distributions, Differential OperatorsF. Locally Compact Groups, Lie Groups; References; Index of Notation; Index | |
| 546 | |a English. | ||
| 650 | 0 | |a Lie groups. | |
| 650 | 0 | |a Representations of groups. | |
| 650 | 6 | |a Groupes de Lie. |0 (CaQQLa)201-0025325 | |
| 650 | 6 | |a Repr�esentations de groupes. |0 (CaQQLa)201-0026866 | |
| 650 | 7 | |a MATHEMATICS |x Algebra |x Linear. |2 bisacsh | |
| 650 | 7 | |a Lie groups |2 fast |0 (OCoLC)fst00998135 | |
| 650 | 7 | |a Representations of groups |2 fast |0 (OCoLC)fst01094938 | |
| 650 | 7 | |a Lie, groupes de. |2 ram | |
| 650 | 7 | |a Repr�esentations de groupes. |2 ram | |
| 650 | 7 | |a Alg�ebre lin�eaire. |2 ram | |
| 776 | 0 | 8 | |i Print version: |a Magyar, Zolt�an. |t Continuous linear representations. |d Amsterdam ; New York : North-Holland ; New York, N.Y., U.S.A. : Distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1992 |z 0444890726 |z 9780444890726 |w (DLC) 91040659 |w (OCoLC)24794460 |
| 830 | 0 | |a North-Holland mathematics studies ; |v 168. | |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780444890726 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/publication?issn=03040208&volume=168 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/bookseries/03040208/168 |z Texto completo |