Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 7 1 2016 01 01 An analog of Titchmarsh's theorem for the Bessel transform in the space $\mathrm{L}_{p,\alpha}(\mathbb{R}_{+})$ 243 248 312 10.22075/ijnaa.2015.312 EN Mohamed El Hamma Department of Mathematics, Faculty of Sciences A&quot;{i}n Chock, University of Hassan II, BP 5366, Maarif, Casablanca, Morocco R. Daher Department of Mathematics, Faculty of Sciences A&quot;{i}n Chock, University of Hassan II, BP 5366, Maarif, Casablanca, Morocco M. Boujeddaine Department of Mathematics and Computer Sciences, Faculty of Sciences, Equipe d&#039;Analyse Harmonique et Probabilit&#039;{e}s, Universit&#039;{e} Moulay Isma&quot;{i}l. BP 11201 , Zitoune, Mekn`{e}s, Morocco Journal Article 2014 05 23 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 $\alpha>-\frac{1}{2}$ and $1<p\leq 2$. Bessel operator Bessel transform Bessel generalized translation https://ijnaa.semnan.ac.ir/article_312_6d7a608b8b31cc91bf4c1e508fe5d3ab.pdf