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  3. Pontryagin Duality and the Structure of Locally Compact Abelian Groups
  • Cited by 162
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    • Publisher:
      Cambridge University Press
      Publication date:
      November 2009
      August 1977
      ISBN:
      9780511600722
      9780521215435
      DOI:
      https://doi.org/10.1017/CBO9780511600722
      Dimensions:
      Weight & Pages:
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.55kg, 140 Pages
      • Subjects:
      Mathematics (general), Mathematics, Algebra
      Series:
      London Mathematical Society Lecture Note Series (29)
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    Subjects:
    Mathematics (general), Mathematics, Algebra
    Series:
    London Mathematical Society Lecture Note Series (29)
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    Book description

    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.

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