The scope and history of commutative and noncommutative harmonic analysis
著者
書誌事項
The scope and history of commutative and noncommutative harmonic analysis
（History of mathematics, v. 5）
Ameican Mathematical Society , London Mathematical Society, c1992
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注記
Consists of six reprinted articles originally written as expanded versions of talks given at various conferences and published between 1978 and 1990
Includes bibliographical references
内容説明・目次
内容説明
This volume presents a sweeping view of the importance, utility, and beauty of harmonic analysis and its connections to other areas of mathematics and science. It attempts to unify certain themes that emerged after major discoveries in 1967 and 1968 in the areas of Lie algebras, strong interaction physics, statistical mechanics, and nonlinear partial differential equations - discoveries that may at first seem to be independent, but which are in fact deeply interrelated. This book will help specialists learn about fields other than their own and about the relationships among fields. Readers will appreciate the book for its lucid expository presentations and for its wide-ranging treatment of the subject.
目次
- Introduction
- Harmonic analysis as the exploitation of symmetry
- a historical survey
- Herman Weyl and the application of group theory to quantum mechanics
- The significance of invariant measures for harmonic analysis
- Weyl's program and modern physics
- Induced representations and the applications of harmonic analysis
- Von Neumann and the early days of ergodic theory
- Final remarks.
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