Franz Luef: Noncommutative geometry and time-frequency analysis

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In my talk I am presenting a link between time-frequency analysis and noncommutative geometry. In particular, a connection between the Moyal plane, noncommutative tori and time-frequency analysis. After a brief description of a dictionary between these two areas I am going to explain some consequences for time-frequency analysis and noncommutative geometry such as the construction of projections in the mentioned operator algebras and Gabor frames.

Recording during the thematic meeting: ''30 years of wavelets: impact and future'' the January 23, 2015 at the Centre International de Rencontres Mathématiques (Marseille, France)

Film maker: Guillaume Hennenfent
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