新書推薦：
《
木本植物类中药汇编
》
售價：NT$
653
《
异次元社交
》
售價：NT$
347
《
抉择时刻：那些原本可以改变世界的演讲
》
售價：NT$
305
《
海外中国研究·元代江南政治社会史研究
》
售價：NT$
551
《
加密货币突破数字边界
》
售價：NT$
352
《
养元筑基调气血
》
售價：NT$
356
《
永夜微光：拉康与未竟之精神分析革命
》
售價：NT$
602
《
古希腊社会生活史
》
售價：NT$
254
|
| 內容簡介： |
|
From the earliest days of measure theory， invariant measures have held the interests of geometers and analysts alike， with the Haar measure playing an especially delightful role. The aim of this book is to present invariant measures on topological groups， progressing from special cases to the more general. Presenting existence proofs inspecial cases， such as compact metrizable groups， highlights how the added assumptions give insight into just what the Haar measure is like; tools from different aspects of analysis and/or combinatorics demonstrate the diverse views afforded the subject. After presenting the compact case， applications indicate how these tools can find use. The generalization to locally compact groups is then presented and applied to show relations between metric and measure theoretic invariance. Steinlage’s approach to the general problem of homogeneous action in the locally compact setting shows how Banach’s approach and that of Cartan and Weil can be unified with good effect. Finally， the situation of a nonlocally compact Polish group is discussed briefly with the surprisingly unsettling consequences indicated.The book is accessible to graduate and advanced undergraduate students who have been exposed to a basic course in real variables， although the authors do review the development of the Lebesgue measure. It will be a stimulating reference for students and professors who use the Haar measure in their studies and research.
|
|
購物車/收銀台(0) | 在線留言板
| 付款方式
| 聯絡我們
| 運費計算
| 幫助中心 |
加入書簽
HOME
新書上架
