Harmonic Analysis and Partial Differential Equations

This proceedings volume collects selected papers presented at the Harmonic Analysis and Applications Workshop held in Abidjan, Côte d'Ivoire from May 22-26, 2023. Chapters present surveys and recent research results from experts and cover a range of topics at the intersections of classical and abstract harmonic analysis, PDEs, and numerical analysis.

Stein s Theorem in the upper-half plane and Bergman spaces with weights. - Representation theorems in Hardy-Orlicz spaces of the upper half-plane. - Characterizations of Lp-vector fields divergence distributions. - Boundedness of some commutators in Dunkl-Fofana spaces. - The Ubiquitous Appearance of BUPUs. - Estimate of the Lp-Fourier transform norm for some Lie groups. - Spherical function of type on groupoids. - Convolution in Orlicz spaces on Hypergroups. - A Variational Approach to the Cauchy Problem for Nonlinear Elliptic Systems. - Large deviations and Berry-Esseen inequalities in the stochastic diffusion driven by a Volterra type process. - Entropy stable Godunov numerical schemes for the Euler equations. - Time convergence of Bloch-type model with Pauli s master equation and wave-matter interaction.