An analog of Titchmarsh's theorem for the q-Dunkl transform in the space Lq,a2 (Rq)

被引：0

作者：

Daher, Radouan ^{[1
]}

Tyr, Othman ^{[1
]}

机构：

[1] Univ Hassan 2, Fac Sci Ain Chock, Dept Math, Casablanca, Morocco

来源：

JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS | 2020年 / 11卷 / 04期

关键词：

q-Dunkl tansform; Generalized q-Dunkl translation; q-Titchmarsh's theorem;

D O I：

10.1007/s11868-020-00330-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using the q-harmonic analysis associated with the q-Dunkl operator, we prove an analog of Titchmarsh's theorem for functions satisfying the q-Dunkl Lipschitz condition, using a generalized q-translation operator in the space L-q,a(2)(R-q).

引用

页码：1933 / 1949

页数：17

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