DE

Modul

Harmonic Analysis [M-MATH-105324]

Credits
8
Recurrence
Unregelmäßig
Duration
1 Semester
Language
Level
4
Version
2

Responsible

Organisation

  • KIT-Fakultät für Mathematik

Part of

Bricks

Identifier Name LP
T-MATH-111289 Harmonic Analysis 8
T-MATH-110804 Harmonic Analysis 8

Content

  • Fourier series
  • Fourier transform on L1 and L2
  • Tempered distributions and their Fourier transform
  • Explizit solutions of the Heat-, Schrödinger- and Wave equation in Rn
  • the Hilbert transform
  • the interpolation theorem of Marcinkiewicz
  • Singular integral operators
  • the Fourier multiplier theorem of Mihlin