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<p>In this paper, we obtain sufficient conditions for the weighted integrability of Fourier–Helgason transforms of functions from generalized integral Lipschitz classes. These conditions are analogues and generalization of well-known Titchmarsh’s conditions and Younis’s conditions for the classical Fourier transform.</p>

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Weighted integrability of Fourier–Helgason transform on noncompact rank 1 Riemannian symmetric spaces

  • 期刊论文

  • 发表日期：

    2025年7月5日

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  • Salah El Ouadih

摘要

In this paper, we obtain sufficient conditions for the weighted integrability of Fourier–Helgason transforms of functions from generalized integral Lipschitz classes. These conditions are analogues and generalization of well-known Titchmarsh’s conditions and Younis’s conditions for the classical Fourier transform.