
Using a generalized Dunkl translation, we obtain an analog of Theorem 5.2 in Younis' paper [2] for the Dunkl transform for functions satisfying the $(\delta, \gamma)$-Dunkl Lipschitz condition in the space $\mathrm{L}^{2}(\mathbb{R}, |x|^{2\alpha+1}dx)$.}
Convolution as an integral transform, оператор Данкла, преобразование Данкла, обобщенный сдвиг Данкла, Dunkl operator, оператор Данкла, перетворення Данкла, узагальнений зсув Данкла, dunkl transform, QA1-939, generalized Dunkl translation, dunkl operator, Dunkl transform, Dunkl operator, Dunkl transform, generalized Dunkl translation, generalized dunkl translation, Mathematics
Convolution as an integral transform, оператор Данкла, преобразование Данкла, обобщенный сдвиг Данкла, Dunkl operator, оператор Данкла, перетворення Данкла, узагальнений зсув Данкла, dunkl transform, QA1-939, generalized Dunkl translation, dunkl operator, Dunkl transform, Dunkl operator, Dunkl transform, generalized Dunkl translation, generalized dunkl translation, Mathematics
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