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Continuous Linear Representations

Z. Magyar (Autor)

Buch | Hardcover

300 Seiten

1992
North-Holland (Verlag)
978-0-444-89072-6 (ISBN)

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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 Poincaré groups. Appendices help readers with diverse backgrounds to find the precise descriptions of the concepts needed from earlier literature.Each chapter includes exercises.

1. The Hille-Yosida Theory. 2. Convolution and Regularization. 3. Smooth Vectors. 4. Analytic Mollifying. 5. The Integrability Problem. 6. Compact Groups. 7. Commutative Groups. 8. Induced Representations. 9. Projective Representations. 10. The Galilean and Poincaré Groups.Appendix: A. Topology. B. Measure and Integration. C. Functional Analysis. D. Analytic Mappings. E. Manifolds, Distributions, Differential Operators. F. Locally Compact Groups, Lie Groups. References. Index.

Erscheint lt. Verlag	30.1.1992
Reihe/Serie	North-Holland Mathematics Studies
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-10	0-444-89072-6 / 0444890726
ISBN-13	978-0-444-89072-6 / 9780444890726
Zustand	Neuware