Time：14:00-15:00, Wednesday, November 13, 2024
Venue：E4-233
Host: Thierry De Pauw, ITS
Speaker：Jacques Peyrière, Université Paris Saclay
Biography: Jacques Peyrière is an Emeritus Professor at the Université Paris Saclay, France. He graduated with a PhD from the Université Paris-Sud in 1974 under the supervision of Jean-Pierre Kahane. Professor Peyrière has been a regular visitor of Yale University, Tsinghua University, Renmin University, and Beihang University. His research interests range over harmonic analysis, fractals and multifractals, and probability theory.
Title：On complex analytic tools and the holomorphic rotation method
Abstract: An extended holomorphic Radon transform enables a "method of rotations" to lift one dimensional adapted nonlinear holomorphic analysis tools to higher dimensions.
In particular the various multiscale orthogonal bases of holomorphic functions in Hardy spaces in one dimension give rise to orthogonal bases of Harmonic functions on higher dimensional half spaces. We provide an overview of recent progress in nonlinear approximation using holomorphy, and discuss their extension to high dimension through the Radon transform.
