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}
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\begin{document}$$\mathrm {L}^{2}((0,+\infty ), x^{\mu })$$\end{document}, where μ≥0\documentclass[12pt]{minimal}
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\begin{document}$$\mu \ge 0$$\end{document}. .