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Pontryagin Duality and the Structure of Locally Compact Abelian Groups.

Pontryagin Duality and the Structure of Locally Compact Abelian Groups.

・ISBN 978-0-521-21543-5 paper GB£ 53.00

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電子版あり 大学・学術機関向け電子ブック(eBook)ISBN 978-0-511-60072-2

著者・編者Morris, Sidney A.,
シリーズLondon Mathematical Society Lecture Note Series
出版社(Cambridge University Press, UK)
出版年月1977
ページ数140 pp.
言語ENG
ニュース番号<M25-9382>

解説

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.