Discrete Spherical Averages

Duration: 43 mins 53 secs
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Description: Lacey, M
Monday 25th February 2019 - 15:00 to 16:00
 
Created: 2019-02-25 16:33
Collection: Approximation, sampling and compression in data science
Publisher: Isaac Newton Institute
Copyright: Lacey, M
Language: eng (English)
Distribution: World     (downloadable)
Explicit content: No
Aspect Ratio: 16:9
Screencast: No
Bumper: UCS Default
Trailer: UCS Default
 
Abstract: The strongest inequalities concerning continuous spherical averages are phrased in the language of Lp 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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