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math.CA2021
A sufficient condition for mobile sampling in terms of surface density
Benjamin Jaye, Mishko Mitkovski
We provide a sufficient condition for sets of mobile sampling in terms of the surface density of the set.
math.CA2018
Quantitative uniqueness properties for functions with fast decaying, or sparsely supported, Fourier transform
Benjamin Jaye, Mishko Mitkovski
This paper builds upon two key principles behind the Bourgain-Dyatlov quantitative uniqueness theorem for functions with Fourier transform supported in an Ahlfors regular set. We f…