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UID:8217@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20141211T100000
DTEND;TZID=Europe/Paris:20141211T110000
DTSTAMP:20241120T210111Z
URL:https://www.i2m.univ-amu.fr/evenements/gabor-multipliers-applied-and-t
 heoretical-aspects/
SUMMARY:Hans G. Feichtinger (Institute of Mathematics\, University of Vienn
 a): Gabor multipliers: applied and theoretical aspects
DESCRIPTION:Hans G. Feichtinger: Gabor Multipliers are linear operators ari
 sing similar to Fourier multipliers: Given an input signal the Gabor expan
 sions is obtained. After multiplication with a sequence of numbers the syn
 thesis operator is applied. From an engineering point of view they are lik
 e actions of an audio-engineer who decides in a time-variant manner who th
 e different frequency bands of a signal are amplified or damped. In the ma
 thematical description one deals with function spaces\, classes of operato
 rs\, symbols etc.. For example\, the question of best approximation of a g
 iven Hilbert Schmidt-operator by Gabor multipiers (in the Hilbert Schmidt 
 norm) is translated into an approximation problem for spline-type function
 s (comparable to the question of approximating an L2-function on R by a cu
 bic spline function). Gabor multipliers are easily implemented and even th
 e theory of discrete Gabor multipliers provides a non-trivial and interest
 ing chapter of linear algebra.\n
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/Hans_Georg_Feichtinger.jpg
CATEGORIES:Séminaire,Analyse et Géométrie
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DTSTART:20141026T020000
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