Hankel transforms and general monotonicity

יום ב', 14/01/2019 - 14:00
Speaker: 
Seminar: 
Place: 
Abstract: 

We will discuss some problems related to Hankel transforms of \textbf{real-valued} general monotone functions,
some of them generalize previously known results, and some others are completely new. To mention some, we give
a criterion for uniform convergence of Hankel transforms, and we also give a solution to Boas' problem in this
context. In particular, the latter implies a generalization of the well-known Hardy-Littlewood inequality for
Fourier transforms.