Resumen de On the construction of uniformly convergent disk polynomial expansions

Valdir A. Menegatto, A.P. Peron, C.P. Oliveira

• We present a method to derive explicit uniformly convergent disk polynomial expansions for real-analytic functions on the complex unit disk. As an application, we deduce the spherical harmonic expansion of the Poisson–Szegö kernel for the unit ball in ℂ? .