Two-wavelet theory and two-wavelet localization operators on the q-Dunkl harmonic analysis

被引：1
|
作者：
Tyr, Othman [1 ]
Daher, Radouan [1 ]
机构：
[1] Univ Hassan 2, Fac Sci Ain Chock, Dept Math, Casablanca, Morocco
来源：
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2022年 / 15卷 / 12期
关键词：
q-Dunkl operator; q-Dunkl transform; q-Dunkl two-wavelet; q-Dunkl continuous wavelet transform; localization operators; Schatten-von Neumann class; TIME-FREQUENCY LOCALIZATION; TRANSFORMS;
D O I：
10.1142/S1793557122502163
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, using the q-Dunkl harmonic analysis introduced in Bettaibi and Bettaieb [q-Analog of the Dunkl transform on the real line, Tamsui Oxf. J. Math. Sci. 25(2) (2007) 117-2051 and motivated by Wong's approach [M. W. Wong, Wavelet Transforms and Localization Operators, Vol. 136 (Springer Science & Business Media, Berlin, 2002)), we first define and study the q-wavelets, the continuous q-wavelet transforms. Next, we introduce the two-wavelet localization operators, the Schatten-von Neumann properties of these localization operators are established, and for trace class localization operators, the traces and the trace class norm inequalities are presented.
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页数：23
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