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.

Explores topics at the intersections of classical and abstract harmonic analysis, PDEs, and numerical analysis Presents recent research results from an international group of experts Collects selected talks from the workshop in Abidjan, Côte d'Ivoire

Inhalt

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.