$JACOBI TRANSFORM OF $(\nu, \gamma, p)$-JACOBI–LIPSCHITZ FUNCTIONS IN THE SPACE $\mathrm{L}^{p}(\mathbb{R}^{+},\Delta_{(\alpha,\beta)}(t) dt)$$

JACOBI TRANSFORM OF $(\nu, \gamma, p)$-JACOBI–LIPSCHITZ FUNCTIONS IN THE SPACE $\mathrm{L}^{p}(\mathbb{R}^{+},\Delta_{(\alpha,\beta)}(t) dt)$

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 \(\...

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Bibliographic Details
Main Authors:	Mohamed El Hamma, Hamad Sidi Lafdal, Nisrine Djellab, Chaimaa Khalil
Format:	Article
Language:	English
Published:	Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin. 2019-07-01
Series:	Ural Mathematical Journal
Online Access:	https://umjuran.ru/index.php/umj/article/view/122

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https://umjuran.ru/index.php/umj/article/view/122

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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