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SUMMARY:Approximation of continuous problems in Fourier Analysis by finite
   dimensional ones: The setting of the Banach Gelfand Triple - Hans  Feich
 tinger (University of Vienna\; University of Vienna)
DTSTART:20190619T101000Z
DTEND:20190619T110000Z
UID:TALK126211@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:<span>When it comes to the constructive realization of operato
 rs arising in&nbsp\;Fourier Analysis\, be it the Fourier transform itself\
 , or some convolution operator\, or more generally an (underspread) pseudo
 -diferential operator it is natural to make use of sampled version of the 
 ingredients. The theory around the Banach Gelfand Triple (S0\,L2\,SO&#39\;
 ) which is based on methods from Gabor and time-frequency analysis\, combi
 ned with the <br> relevant function spaces (Wiener amalgams and modulation
  spaces) allows to provide what we consider the appropriate setting and po
 ssibly the starting point for qualitative as well as later on more quantit
 ative <br> error estimates.<br> <br> </span>
LOCATION:Seminar Room 1\, Newton Institute
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