Harmonic Analysis (HS 2017)

Lecturer

  • Prof. Dr. Zoltán Balogh

Assistants

  • Züst Roger

Date and Venue

  • Wednesday, 10 - 12 h, B78 (ExWi)
  • Start: Wednesday, September 20, 2017

Details

  • 3 ECTS credit points
  • Enrollment for oral/written exam by the second last Friday of the lecture period via KSL
  • Further information (contents, exercise series, prerequisites etc.) on the course's ILIAS site

Contents

  • Definitions and properties of distributions and tempered distributions.
  • Applications of distributions in solving differential equations.
  • Definition and properties Fourier transform defined on tempered distributions.
  • Theorem of Plancherel.
  • The Poisson summation formula.
  • The Fourier-Laplace transform.
  • Paley-Wiener-Schwartz theorems.