A multiplier version of the Bernstein inequality on the complex sphere

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:240

Article

Levesley, Jeremy¹  Kushpel, Alexander¹ 

[1] Univ Leicester, Dept Math, Leicester LE1 7RH, Leics, England

关键词: Bernstein inequality;    Complex sphere;    Multiplier;    Jacobi polynomial;   

DOI  :  10.1016/j.cam.2012.09.034

来源: Elsevier

【 摘 要 】

We prove a multiplier version of the Bernstein inequality on the complex sphere. Included in this is a new result relating a bivariate sum involving Jacobi polynomials and Gegenbauer polynomials, which relates the sum of reproducing kernels on spaces of polynomials irreducibly invariant under the unitary group, with the reproducing kernel of the sum of these spaces, which is irreducibly invariant under the action of the unitary group. (c) 2012 Elsevier B.V. All rights reserved.

【 授权许可】

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