Colloquium

Mikael De La Salle, Université de Lyon

"Variations around the Hilbert transform"

The Hilbert transform is the operator of convolution by the distribution 1/t. It is an emblematic example of a Fourier multiplier. I will present variants on other spaces than the real line, such as matrices, manifolds and groups, and applications to operator algebras, representation theory. I will present more or less recent results obtained in collaboration with Vincent Lafforgue, Tim de Laat, Javier Parcet and Eduardo Tablate.

MC 5501