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110501 ||| eng |
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|a 9780080872797
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|a 0080872794
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|a 1281754579
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|a 9786611754570
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|a 9781281754578
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|a QA387
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|a Magyar, Zoltán
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245 |
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|a Continuous linear representations
|c Zoltán Magyar
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260 |
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|a Amsterdam
|b North-Holland
|c 1992, 1992
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300 |
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|a vii, 301 pages
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|a E. Manifolds, Distributions, Differential OperatorsF. Locally Compact Groups, Lie Groups; References; Index of Notation; Index
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|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
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|a Includes bibliographical references (pages 283-290) and indexes
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653 |
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|a Algèbre linéaire / ram
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653 |
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|a Représentations de groupes / ram
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|a Lie groups / fast / (OCoLC)fst00998135
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|a MATHEMATICS / Algebra / Linear / bisacsh
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|a Lie, groupes de / ram
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|a Representations of groups / fast / (OCoLC)fst01094938
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|a Groupes de Lie
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|a Representations of groups / http://id.loc.gov/authorities/subjects/sh85112944
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|a Lie groups / http://id.loc.gov/authorities/subjects/sh85076786
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|a Représentations de groupes
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041 |
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7 |
|a eng
|2 ISO 639-2
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989 |
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|b ZDB-1-ELC
|a Elsevier eBook collection Mathematics
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490 |
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|a North-Holland mathematics studies
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776 |
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|z 0444890726
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776 |
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|z 9780444890726
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|z 0080872794
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|z 9780080872797
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856 |
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|u https://www.sciencedirect.com/science/bookseries/03040208/168
|x Verlag
|3 Volltext
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|a 512/.55
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520 |
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|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
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