SEMINARIO DE ANÁLISIS Y APLICACIONES

Martes, 3 de junio de 2025,
11:30 - 12:30, Aula 520, departamento de Matemáticas

Jorge Pérez García
ICMAT y UAM
Topics on noncommutative Fourier multipliers

Resumen:
Noncommutative harmonic analysis, as I approach it, can be described as the study
of operator algebras using techniques from real analysis. In particular, Fourier multipliers
have played a central role in the field since the seminal work of Uffe Haagerup in
the late 1970’s, whose ideas have been extensively developed by many authors over
the past two decades. In this talk, I will present the main results of my thesis, which aim
to contribute to this area. We will discuss three different (but related) topics: (1) the
optimality of certain maximal martingale inequalities, (2) the boundedness of some
idempotent multipliers on a family of lattices in SL2(C), and (3) a generalization of the
Riesz transform in the setting of Schur multipliers.

SEMINARIO PREVIO A LA DEFENSA DE LA TESIS DOCTORAL
ICMAT CSIC-UAM-UC3M-UCM

Departamento de Matemáticas. U.A.M.
Proyecto CEX2019-000904-S financiado por MCIN/ AEI/10.13039/501100011033.