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Talks given at NuHAG events

On a Banach Gelfand Triple (and its use in Engineering and Mathematics)


  Hans G. Feichtinger (NuHAG)

  given at  Imperial College (London) (29.09.14 15:30)
  id:  2937
  length:  90min
  status: 
  type: 
  www:  http://www3.imperial.ac.uk/mathematics/research/analysis/pureanalysisandpdes/activities
  LINK-Presentation: 
  ABSTRACT:
The Banach Gelfand Triple based on the Segal Algebra S_o(R^d)
will be described, which is a suitable Banach algebra of test function, invariant under the Fourier transform. It is a dense
subspace of L^2(R^d), and can often take the role of the Schwartz
space of rapidely descreasing functions. Its dual consists of
all tempered distributions which have a bounded STFT (Short time
Fourier Transform).

The space (together with the intermediate Hilbert space) are
universally useful for many questions related to Fourier analysis
or time-frequency analysis.


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