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math.CA2021
Fractal uncertainty principle for discrete Cantor sets with random alphabets
Suresh Eswarathasan, Xiaolong Han
In this paper, we investigate the fractal uncertainty principle (FUP) for discrete Cantor sets, which are determined by an alphabet from a base of digits. Consider the base of M di…
math.CA2013
Intersections of sets, diophantine equations and Fourier analysis
Suresh Eswarathasan, Alex Iosevich, Krystal Taylor
A classical theorem due to Mattila (see \cite{Mat84}; see also \cite{M95}, Chapter 13) says that if of Hausdorff dimension , respectively, with $…
math.CA2010
Fourier integral operators, fractal sets and the regular value theorem
Suresh Eswarathasan, Alex Iosevich, Krystal Taylor
We prove that if , , is an Ahlfors-David regular product set of sufficiently large Hausdorff dimension, denoted by $dim_{\mathcal H}({\…