Continuous linear representations
著者
書誌事項
Continuous linear representations
（North-Holland mathematics studies, 168）
North-Holland, 1992
大学図書館所蔵 件 / 全38件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Includes bibliographical references and indexes
内容説明・目次
内容説明
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 Poincare groups. Appendices help readers with diverse backgrounds to find the precise descriptions of the concepts needed from earlier literature.Each chapter includes exercises.
目次
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 Poincare 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.
「Nielsen BookData」 より
