In this paper we extend classical Titchmarsh theorems on the Fourier–Helgason transform of Lipschitz functions to the setting of -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.
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Salah El Ouadih 1; Radouan Daher 2
@article{CRMATH_2021__359_6_675_0, author = {Salah El Ouadih and Radouan Daher}, title = {Lipschitz {Conditions} in {Damek{\textendash}Ricci} {Spaces}}, journal = {Comptes Rendus. Math\'ematique}, pages = {675--685}, publisher = {Acad\'emie des sciences, Paris}, volume = {359}, number = {6}, year = {2021}, doi = {10.5802/crmath.211}, language = {en}, }
Salah El Ouadih; Radouan Daher. Lipschitz Conditions in Damek–Ricci Spaces. Comptes Rendus. Mathématique, Volume 359 (2021) no. 6, pp. 675-685. doi : 10.5802/crmath.211. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.211/
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