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math.CA2024
A Study Guide for "A Restriction Estimate using Polynomial Partitioning"
John Green, Terry Harris, Kaiyi Huang +1
This manuscript is intended as an accompaniment to Guth's "A restriction estimate using polynomial partitioning". We begin by summarizing the core ideas of the proof, elaborating t…
math.CA2024
Inequalities of Brascamp-Lieb type on the Heisenberg group
Kaiyi Huang, Betsy Stovall
We prove both necessary and sufficient conditions for -bound\-ed\-ness of certain multilinear generalized Radon transforms that arise as Heisenberg group analogues of the Bras…