An analog of Titchmarsh's theorem for the Bessel transform in the space \mathrm{L}_{p,\alpha}(\mathbb{R}_{+})

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An analog of Titchmarsh's theorem for the Bessel transform in the space \mathrm{L}_{p,\alpha}(\mathbb{R}_{+})

عنوان مقاله: An analog of Titchmarsh's theorem for the Bessel transform in the space \mathrm{L}_{p,\alpha}(\mathbb{R}_{+})
شناسه ملی مقاله: JR_IJNAA-7-1_024
منتشر شده در در سال 1394

مشخصات نویسندگان مقاله:

- - - Department of Mathematics, Faculty of Sciences A"{i}n Chock, University of Hassan II, BP ۵۳۶۶, Maarif, Casablanca, Morocco
- - - Department of Mathematics, Faculty of Sciences A"{i}n Chock, University of Hassan II, BP ۵۳۶۶, Maarif, Casablanca, Morocco
- - - Department of Mathematics and Computer Sciences, Faculty of Sciences, Equipe d&#۰۳۹;Analyse Harmonique et Probabilit&#۰۳۹;{e}s, Universit&#۰۳۹;{e} Moulay Isma"{i}l. BP ۱۱۲۰۱ , Zitoune, Mekn`{e}s, Morocco

خلاصه مقاله:

Using a Bessel generalized translation, we obtain an analog of Titchmarsh's theorem for the Bessel transform for functions satisfying the Lipschitz condition in the space \mathrm{L}_{p,\alpha}(\mathbb{R}_{+}), where \alpha>-\frac{۱}{۲} and ۱

کلمات کلیدی:

Bessel operator, Bessel transform, Bessel generalized translation

صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1561955/