Fourier analysis on LCA

  • Pontryagin duality
  • compactness-discreteness duality
  • time-frequency considerations
  • Haar measure
  • Bochner-Khinchin theorem, etc.
  • Fourier inversion theorem
  • Plencherel theorem
  • decay-smoothness duality
  • Paley-Wiener-Schwartz theorem
  • uncertainty principle
  • maximal ideals of L^{1}(G)
  • Banach-algebra considerations
  • Reference: Walter Rudin, Fourier analysis on groups.

    This entry was posted in Fourier analysis. Bookmark the permalink.

    Leave a Reply

    Fill in your details below or click an icon to log in: Logo

    You are commenting using your account. Log Out /  Change )

    Google+ photo

    You are commenting using your Google+ account. Log Out /  Change )

    Twitter picture

    You are commenting using your Twitter account. Log Out /  Change )

    Facebook photo

    You are commenting using your Facebook account. Log Out /  Change )


    Connecting to %s