NuHAG :: TALKS

Talks given at NuHAG events

Fourier Standard Spaces and the Kernel Theorem


  Hans G. Feichtinger

  given at  TUM, Mathematik, Garching (13.07.17 10:30)
  id:  3338
  length:  60min
  status: 
  type:  seminar talk
  LINK-Presentation:  https://nuhagphp.univie.ac.at/dateien/talks/3338_Garching1317.pdf
  ABSTRACT:
The talk describes a surprisingly rich family of function spaces which can be defined on general LCA (locally compact Abelian groups, such as G = R^d). The start point is the Banach Gelfand triple (SO,L2,SO'), consisting of the Segal algebra SO(G) as a space of test functions and the dual space as the minimal resp. maximal space in this family. One of the most attractive (and surprising) facts about this setting, which requires only the use of Banach spaces and their dual spaces, is the existence of a kernel theorem, which extends the classical association of L2-kernels with the family of Hilbert-Schmidt operators.

As time permits a number of questions arising from classical analysis and time-frequency analysis resp. Gabor analysis are mentioned.


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