On the construction of uniformly convergent disk polynomial expansions

• Autores: Valdir A. Menegatto, A.P. Peron, C.P. Oliveira
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 62, Fasc. 2, 2011, págs. 151-159
• Idioma: inglés
• DOI: 10.1007/s13348-010-0017-5
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• Resumen

  • 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? .