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PRODID:-//talks.bham.ac.uk//v3//EN
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CATEGORIES:Analysis seminar
SUMMARY:Large sets without Fourier restriction theorems -
Constantin Bilz (Birmingham)
DTSTART:20200114T140000Z
DTEND:20200114T150000Z
UID:TALK4071AT
URL:/talk/index/4071
DESCRIPTION:It was recently established that Fourier restricti
on theorems have implications for the structure of
Lebesgue sets of Fourier transforms. On the other
hand\, no methodical study of these sets is avail
able. In this talk\, we construct a function that
lies in L^p(R^d)\nfor every p>1 and whose Fourier
transform has no Lebesgue points in a Cantor set o
f full Hausdorff dimension. We combine this with r
ecent results in restriction theory to prove a lac
k of valid relations\nbetween the Hausdorff dimens
ion of a set and the range of restriction exponent
s for measures supported in the set.
LOCATION:WATN-R17 18\, Watson Building
CONTACT:Hong Duong
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