Abel means for orthogonal expansions of distributions on spheres, balls and simplices

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:433

Article

关键词: Abel means;    Orthogonal expansion;    Distribution;    Simplex;   

DOI  :  10.1016/j.jmaa.2015.08.006

来源: Elsevier

【 摘 要 】

A point is out of the support of a distribution on the open standard simplex if and only if the orthogonal expansion of the distribution is uniformly summable in Abel means to zero on a neighborhood of the point. A similar equivalence holds for Fourier-Laplace series on the unit sphere and orthogonal expansions on the open unit ball. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free