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...

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Bibliographic Details
Main Author: Magyar, Zoltán
Format: eBook
Language:English
Published: Amsterdam North-Holland 1992, 1992
Series:North-Holland mathematics studies
Subjects:
Online Access:
Collection: Elsevier eBook collection Mathematics - Collection details see MPG.ReNa
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245 0 0 |a Continuous linear representations  |c Zoltán Magyar 
260 |a Amsterdam  |b North-Holland  |c 1992, 1992 
300 |a vii, 301 pages 
505 0 |a E. Manifolds, Distributions, Differential OperatorsF. Locally Compact Groups, Lie Groups; References; Index of Notation; Index 
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 0 |a Includes bibliographical references (pages 283-290) and indexes 
653 |a Algèbre linéaire / ram 
653 |a Représentations de groupes / ram 
653 |a Lie groups / fast / (OCoLC)fst00998135 
653 |a MATHEMATICS / Algebra / Linear / bisacsh 
653 |a Lie, groupes de / ram 
653 |a Representations of groups / fast / (OCoLC)fst01094938 
653 |a Groupes de Lie 
653 |a Representations of groups / http://id.loc.gov/authorities/subjects/sh85112944 
653 |a Lie groups / http://id.loc.gov/authorities/subjects/sh85076786 
653 |a Représentations de groupes 
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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 Poincař groups. Appendices help readers with diverse backgrounds to find the precise descriptions of the concepts needed from earlier literature. Each chapter includes exercises