Calderon reproducing formula associated with the Gegenbauer operator on the half-line

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:335

Article

Guliyev, Vagif S. ; Ibrahimov, Elman J.

关键词: Gegenbauer differential operator;    generalized shift operator;    generalized convolution;    Calderon reproducing formula;   

DOI  :  10.1016/j.jmaa.2007.02.025

来源: Elsevier

【 摘 要 】

In this paper, we introduce the generalized shift operator generated by the Gegenbauer differential operator D-lambda=(x(2) - 1)(1/2-lambda)d/dx(x(2)-1)(lambda+1/2) d/dx, and define a generalized convolution circle times on the half-line corresponding to the Gegenbauer differential operator. We investigate the Calderon reproducing formula associated with the convolution circle times involving finite Borel measures, leading to results on the L-p-norm and pointwise approximation for functions on the half-line. (c) 2007 Elsevier Inc. All rights reserved.

【 授权许可】

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