On the construction of uniformly convergent disk polynomial expansions

Menegatto, V. A.; Peron, A. P.; Oliveira, C. P.

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

On the construction of uniformly convergent disk polynomial expansions

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Author(s):	Menegatto, V. A. ^[1] ; Peron, A. P. ^[1] ; Oliveira, C. P. ^[2] Total Authors: 3
Affiliation:	^[1] ICMC USP, Dept Matemat, BR-13560970 Sao Carlos, SP - Brazil ^[2] Univ Fed Itajuba, ICE DMC, BR-37500903 Itajuba, MG - Brazil Total Affiliations: 2
Document type:	Journal article
Source:	COLLECTANEA MATHEMATICA; v. 62, n. 2, p. 151-159, MAY 2011.
Web of Science Citations:	3
Abstract
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-Szego kernel for the unit ball in C(q) (AU)

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