Project: Quasianalytic and non-quasianalytic classes in Fourier analysis and approximation theory

2014-01-01 – 2018-10-31

Abstract

The first part of the project investigates spaces of ultra-differentiable functions in terms of the growth of Fourier coefficients compared to spectral developments related to elliptical pseudo-differential operators. The second part deals with significant extensions of the famous theorem of Beurling-Wiener for convolutional algebras and applications in the Taubian theory of the asymptotics of integral transformations for large values of the parameter.