A Quaternionic Bernstein Theorem

被引：0

作者：

Alessandro Perotti

机构：

[1] University of Trento,Department of Mathematics

来源：

Mediterranean Journal of Mathematics | 2023年 / 20卷

关键词：

Bernstein theorem; Bernstein inequality; quaternionic polynomials; zonal harmonics; Primary 30G35; Secondary 26D05; 33C50;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We prove a four-dimensional version of a Bernstein’s theorem, with complex polynomials being replaced by quaternionic polynomials. Moreover, using an Almansi-type decomposition of polynomials, we formulate the quaternionic Bernstein’s inequality in terms of four-dimensional zonal harmonics and Gegenbauer polynomials.

引用

共 50 条

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