Pontryagin Duality and the Structure of Locally Compact Abelian Groups
Download or Read eBook Pontryagin Duality and the Structure of Locally Compact Abelian Groups PDF written by Sidney A. Morris and published by Cambridge University Press. This book was released on 1977-08-04 with total page 141 pages. Available in PDF, EPUB and Kindle.
Author | : Sidney A. Morris |
Publisher | : Cambridge University Press |
Total Pages | : 141 |
Release | : 1977-08-04 |
ISBN-10 | : 9780521215435 |
ISBN-13 | : 0521215439 |
Rating | : 4/5 (35 Downloads) |
Book Synopsis Pontryagin Duality and the Structure of Locally Compact Abelian Groups by : Sidney A. Morris
Book excerpt: These lecture notes begin with an introduction to topological groups and proceed to a proof of the important Pontryagin-van Kampen duality theorem and a detailed exposition of the structure of locally compact abelian groups. Measure theory and Banach algebra are entirely avoided and only a small amount of group theory and topology is required, dealing with the subject in an elementary fashion. With about a hundred exercises for the student, it is a suitable text for first-year graduate courses.