Lipschitz Conditions in Damek–Ricci Spaces
Copyright policy )Lipschitz Conditions in Damek–Ricci Spaces
In this paper we extend classical Titchmarsh theorems on the Fourier–Helgason transform of Lipschitz functions to the setting of L p -space on Damek–Ricci spaces. As consequences, quantitative Riemann–Lebesgue estimates are obtained and an integrability result for the Fourier–Helgason transform is developed extending ideas used by Titchmarsh in the one dimensional setting.
- Université Hassan II Mohammedia Morocco
- Cadi Ayyad University Morocco
Standard probability space, Fourier-Helgason transform, Lebesgue integration, Space (punctuation), Mathematical analysis, Damek-Ricci spaces, Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type, Harmonic Analysis and Operator Theory, QA1-939, FOS: Mathematics, Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc., Banach space, Applied Mathematics, Fractional Fourier Transform Analysis, Pure mathematics, Astronomy and Astrophysics, Linguistics, Lipschitz continuity, Finsler Geometry in Physics and Cosmology, FOS: Philosophy, ethics and religion, Philosophy, Physics and Astronomy, Physical Sciences, Function Spaces, Fourier transform, FOS: Languages and literature, Lp space, Mathematics, Riemann hypothesis
Standard probability space, Fourier-Helgason transform, Lebesgue integration, Space (punctuation), Mathematical analysis, Damek-Ricci spaces, Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type, Harmonic Analysis and Operator Theory, QA1-939, FOS: Mathematics, Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc., Banach space, Applied Mathematics, Fractional Fourier Transform Analysis, Pure mathematics, Astronomy and Astrophysics, Linguistics, Lipschitz continuity, Finsler Geometry in Physics and Cosmology, FOS: Philosophy, ethics and religion, Philosophy, Physics and Astronomy, Physical Sciences, Function Spaces, Fourier transform, FOS: Languages and literature, Lp space, Mathematics, Riemann hypothesis
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