Geodesic
Jacobi transform of $(\nu, \gamma, p)$-Jacobi-Lipschitz functions in the space $\mathrm{L}^{p}(\mathbb{R}^{+},\Delta_{(\alpha,\beta)}(t) dt)$
Ural mathematical journal, Tome 5 (2019) no. 1, pp. 53-58

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Using a generalized translation operator, we obtain an analog of Younis' theorem [Theorem 5.2, Younis M. S. Fourier transforms of Dini–Lipschitz functions, Int. J. Math. Math. Sci., 1986] for the Jacobi transform for functions from the $(\nu, \gamma, p)$-Jacobi–Lipschitz class in the space $\mathrm{L}^{p}(\mathbb{R}^{+},\Delta_{(\alpha,\beta)}(t)dt)$.
Keywords: Jacobi operator, Generalized translation operator.
Mots-clés : Jacobi transform 
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     title = {Jacobi transform of $(\nu, \gamma, p)${-Jacobi-Lipschitz} functions in the space $\mathrm{L}^{p}(\mathbb{R}^{+},\Delta_{(\alpha,\beta)}(t) dt)$},
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Mohamed El Hamma; Hamad Sidi Lafdal; Nisrine Djellab; Chaimaa Khalil. Jacobi transform of $(\nu, \gamma, p)$-Jacobi-Lipschitz functions in the space $\mathrm{L}^{p}(\mathbb{R}^{+},\Delta_{(\alpha,\beta)}(t) dt)$. Ural mathematical journal, Tome 5 (2019) no. 1, pp. 53-58. http://geodesic.mathdoc.fr/item/UMJ_2019_5_1_a5/