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Discrete Spherical Averages

Presented by: 
Michael Lacey Georgia Institute of Technology
Monday 25th February 2019 - 15:00 to 16:00
INI Seminar Room 1
The strongest inequalities concerning continuous spherical averages are phrased in the language of $L^p$ improving inequalities.  Replace the  continuous averages by discrete averages, that is average over lattice points on a sphere. These inequalities then engage the continuous versions, the Hardy-Littlewood circle method, and Kloosterman sums. We will report on progress understanding these inequalities. Joint work with Robert Kesler, and Dario Mena.  

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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons