Barry Booton

Dr. Barry Booton is a Senior Lecturer in the Department of Mathematics and Statistics at Florida Atlantic University (FAU). He holds a Ph.D. in Harmonic Analysis from the University of Illinois at Chicago (2005). His research focuses on harmonic analysis, particularly norm inequalities involving functions and their Fourier transforms, with recent work on functions of one variable and generalizations of bounded variation. He is based in Boca Raton, SE43 Room 286, and reachable via bbooton@fau.edu. His scholarly activities include participation in advanced courses and conferences, such as the 2016 Constructive Approximation & Harmonic Analysis course and the 2016 Harmonic Analysis & Approximation Theory conference in Barcelona.

Research interests emphasize monotone functions and sequences, Fourier analysis applications, and functional characterization. His publications explore topics like rearrangements of monotone functions, bounded variation, and trigonometric series. Beyond academia, he enjoys cycling to FAU.