A product formula and a convolution structure for a k-Hankel transform on R

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:463

Article

Ben Said, Salem¹ 

[1] Univ Lorraine, Inst Elie Cartan Lorraine, BP 239, F-54506 Vandoeuvre Les Nancy, France

关键词: Product formula;    Translation operators;    Convolution structure;    Generalized Fourier transform;   

DOI  :  10.1016/j.jmaa.2018.03.073

来源: Elsevier

【 摘 要 】

The product B-k(lambda, x)B-k(lambda, y) of two Dunki type kernels is expressed as an integral in terms of B-k(lambda, z) with explicit non-positive kernel. As a consequence, a non-positivity preserving convolution structure is established. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free