An analog of the Titchmarsh’s theorem for the first Hankel-Clifford transform

Using a translation operator, we obtain an analog of Titchmarsh’s theorem for the first Hankel-Clifford transform for functions satisfying the Clifford Lipschitz condition in the space L2((0,+∞),xμ)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathrm {L}^{2}((0,+\infty ), x^{\mu })$$\end{document}, where μ≥0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mu \ge 0$$\end{document}. .