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SUMMARY:Maximal and Variational Fourier Restriction Theory
DTSTART;VALUE=DATE-TIME:20181217T100000Z
DTEND;VALUE=DATE-TIME:20181217T110000Z
DTSTAMP;VALUE=DATE-TIME:20190818T065803Z
UID:indico-event-8812@ictp.it
DESCRIPTION:\n MÃ¼ller\, Ricci\, and Wright recently established the first
"maximal restriction theorem" for the Fourier transform. As a direct cons
equence\, they clarified certain subtle measure theoretic aspects underlyi
ng Fourier restriction theory. In the first part of this talk\, we will gi
ve a brief introduction to the restriction problem\, and illustrate its im
portance in modern analysis. We will then focus on the endpoint Tomas-Stei
n inequality in 3-dimensional Euclidean space\, together with its maximal
and variational variants\, for which especially simple proofs are availabl
e. Finally\, we will describe a recent generalisation\, and present some o
pen problems.\n This is partly based on joint work with Vjekoslav Kovac.\n
\nhttp://indico.ictp.it/event/8812/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://indico.ictp.it/event/8812/
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