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SUMMARY:From conceptual to computational harmonic analysis and back - Hans
  Georg Feichtinger (Vienna University)
DTSTART:20080131T150000Z
DTEND:20080131T160000Z
UID:TALK9190@talks.cam.ac.uk
CONTACT:6743
DESCRIPTION:In this talk we will show\, that methods from conceptual (ofte
 n called abstract) Harmonic Analysis allow not only a unified view on prob
 lems\narising in theoretical physics (coherent states)\, but also lead to 
 \nefficient algorithms for signal processing applications. Arguments  \nfr
 om group representation theory allow the derivation of fundamental\nidenti
 ties which equally important for the understanding of Gabor\nsystems from 
 a theoretical point of view as well as for numerical\ncomputations over fi
 nite Abelian groups. Appropriate function spaces\,\nthe so-called modulati
 on spaces resp. the Segal algebra S0(G)\nallow the analysis of operators (
 be it the Kohn-Nirenberg or the\nAnti-Wick calculus)\, but are also well s
 uited to study the \nproblem of approximating operators over Euclidean spa
 ces by similar \noperators over (sufficiently large) finite groups\, which
  are\nthen accessible to actual computations. \n\n
LOCATION:MR14\, CMS
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