SEMINARIO DE ANÁLISIS Y APLICACIONES

Viernes, 14 de marzo de 2025,
11:30 - 12:30, Aula 520, Módulo 17

Mitchell Taylor
ETH Zürich

Almost everywhere convergence of series and
descriptive set theory

Resumen:
Given a basis (fn) of Lp(), whether one has almost everywhere convergence of
the series expansions f =P1
n=1 anfn is a fundamental question. To establish almost
everywhere convergence, the standard approach is to prove uniform bounds for the
associated maximal function. We will discuss the necessity of this approach, using
methods of descriptive set theory. This is based on joint work with A. Avil ´ es, C. Rosendal
and P. Tradacete.

ICMAT CSIC-UAM-UC3M-UCM
Departamento de Matemáticas. U.A.M.
Proyecto CEX2019-000904-S financiado por MCIN/ AEI/10.13039/501100011033.