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math.CA2019
On Bourgain's counterexample for the Schrödinger maximal function
Lillian B. Pierce
This paper provides a rigorous derivation of a counterexample of Bourgain, related to a well-known question of pointwise a.e. convergence for the solution of the linear Schrödinger…
math.CA2019
Reversing a philosophy: from counting to square functions and decoupling
Philip T. Gressman, Shaoming Guo, Lillian B. Pierce +2
Breakthrough work of Bourgain, Demeter, and Guth recently established that decoupling inequalities can prove powerful results on counting integral solutions to systems of Diophanti…