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PRODID:-//talks.bham.ac.uk//v3//EN
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CATEGORIES:Analysis Seminar
SUMMARY:On extremizers of certain inequalities for the k-p
lane transform - Taryn C. Flock (University of Bir
mingham)
DTSTART:20141006T150000Z
DTEND:20141006T160000Z
UID:TALK1550AT
URL:/talk/index/1550
DESCRIPTION:The Radon transform is an integral transform with
applications in mathematics\, tomography\, and med
icine. The k-plane transform is an integral transf
orm that maps a function to its integrals over all
*k*-dimensional planes. When *k=n-1*\, the *k*-plane transform and the Radon t
ransform coincide. \n\nThe *k*-plane transf
orm is a bounded operator from *L*^{p} of Euclidean space to *L*^{q} o
f the Grassman manifold of all affine *k*-p
lanes for certain values of *q* and *p. Extremizers have been determined in a few cas
es\, but most remain open. In this talk\, we will
focus on showing that\, in the endpoint case **q
=n+1*\, extremizers are unique. Rearrangement
inequalities will be a key tool.
LOCATION:Mechanical Engineering G26
CONTACT:José Cañizo
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