Mathematical Analysis, its Applications and Computation

This volume includes the main contributions by the plenary speakers from the ISAAC congress held in Aveiro, Portugal, in 2019. It is the purpose of ISAAC to promote analysis, its applications, and its interaction with computation. Analysis is understood here in the broad sense of the word, including differential equations, integral equations, functional analysis, and function theory. With this objective, ISAAC organizes international Congresses for the presentation and discussion of research on analysis. The plenary lectures in the present volume, authored by eminent specialists, are devoted to some exciting recent developments in topics such as science data, interpolating and sampling theory, inverse problems, and harmonic analysis.

Contenu

Notes on Computational Hardness of Hypothesis Testing: Predictions using the Low-Degree Likelihood Ratio.- Totally Positive Functions in Sampling Theory and Time-Frequency Analysis.- Multidimensional Inverse Scattering for the Schrödinger Equation.- A Survey of Hardy Type Inequalities on Homogeneous Groups.- Bogdan Bojarski in Complex and Real Worlds.