ICTP SEMINAR - Monday 17 December, at 11:00 - Diogo Oliveira e Silva (University of Birmingham - UK)

[ICTP Math Section]

M A T H E M A T I C S   S E M I N A R S  2018


Monday 17 December, at 11:00 hrs.


Diogo Oliveira e Silva (University of Birmingham - UK)



*Title:* Maximal and Variational Fourier Restriction Theory


*Abstract: *

Müller, Ricci, and Wright recently established the first "maximal 
restriction theorem" for the Fourier transform. As a direct consequence, 
they clarified certain subtle measure theoretic aspects underlying 
Fourier restriction theory. In the first part of this talk, we will give 
a brief introduction to the restriction problem, and illustrate its 
importance in modern analysis. We will then focus on the endpoint 
Tomas-Stein inequality in 3-dimensional Euclidean space, together with 
its maximal and variational variants, for which especially simple proofs 
are available. Finally, we will describe a recent generalisation, and 
present some open problems.

This is partly based on joint work with Vjekoslav Kovac.


VENUE:  Stasi Seminar Room(ICTP Leonardo da Vinci Building, first floor)

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-- 
Monica Petronela Ancuta
for Ms Mabilo
Secretariat of the ICTP Mathematics Section
math at ictp.it

Abdus Salam International Centre for Theoretical Physics
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