Continuous Linear Representations

Continuous Linear Representations

1st Edition - January 30, 1992

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  • Author: Z. Magyar
  • eBook ISBN: 9780080872797

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Description

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.

Table of Contents

  • 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.

Product details

  • No. of pages: 300
  • Language: English
  • Copyright: © North Holland 1992
  • Published: January 30, 1992
  • Imprint: North Holland
  • eBook ISBN: 9780080872797

About the Author

Z. Magyar

Affiliations and Expertise

Mathematical Institute of the Hungarian Academy of Sciences, Budapest, Hungary

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