LOWER BOUNDS FOR POLYNOMIALS OF A QUATERNIONIC VARIABLE

被引：1

作者：

Gentili, Graziano ^{[1
]}

Struppa, Daniele C. ^{[2
]}

机构：

[1] Univ Florence, Dipartimento Matemat U Dini, I-50134 Florence, Italy

[2] Chapman Univ, Schmid Coll Sci & Technol, Orange, CA 92866 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2012年 / 140卷 / 05期

关键词：

REGULAR FUNCTIONS; THEOREM;

D O I：

10.1090/S0002-9939-2011-11027-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove an analog of the Ehrenpreis-Malgrange Lemma for polynomials with quaternionic coefficients, and we apply it to obtain a bound on the growth of the quotient between a slice regular function and a quaternionic polynomial.

引用

页码：1659 / 1668

页数：10

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