SEMINARIO DE ANÁLISIS COMPLEJO

Always convex harmonic shears

Prof. Rodrigo Hernández
(Universidad Adolfo Ibáñez, Viña del Mar, Chile)

Viernes, 1 de marzo de 2019, a las 10:00
(hora no habitual)

Aula 520, Módulo 17, Departamento de Matemáticas
Universidad Autónoma de Madrid

Resumen:
We determine all analytic functions in the unit disk whose shear in a fixed
direction produces an orientation-preserving harmonic mapping whose
image is convex. We prove the perhaps unsurprising fact that these
functions are precisely the extreme points of certain class of analytic
functions.
Joint work with: M.J. Martín (Universidad de La Laguna/UAM, España)
and J. Gröhn (UEF, Finlandia)