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
- :uk
- :us
- : pbk
大学図書館所蔵 全41件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
  オランダ
  スウェーデン
  ノルウェー
  アメリカ
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
- 巻冊次
-
: pbk ISBN 9780821837900
内容説明
When I was invited to speak at the conference on the history of analysis given at Rice University [in 1977], I decided that it might be interesting to review the history of mathematics and physics in the last three hundred years or so with heavy emphasis on those parts in which harmonic analysis had played a decisive or at least a major role. I was pleased and somewhat astonished to find how much of both subjects could be included under this rubric ...The picture that gradually emerged as the various details fell into place was one that I found very beautiful, and the process of seeing it do so left me in an almost constant state of euphoria. I would like to believe that others can be led to see this picture by reading my paper, and to facilitate this I have included a large number of short expositions of topics which are not widely understood by non-specialists. --from the Preface This volume, containing the paper mentioned above as well as five other reprinted papers by Mackey, presents a sweeping view of the importance, utility, and beauty of harmonic analysis and its connections to other areas of mathematics and science. A seventh paper, written exclusively for this volume, 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 glance appear to be independent, but which are in fact deeply interrelated. Information for our distributors: Copublished with the London Mathematical Society beginning with volume 4. Members of the LMS may order directly from the AMS at the AMS member price. The LMS is registered with the Charity Commissioners.
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.
- 巻冊次
-
:us ISBN 9780821899038
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.
「Nielsen BookData」 より