Abstract
In this paper, we use the methods of Fourier-Jacobi harmonic analysis to generalize Boas-type results. We give necessary and sufficient conditions in terms of the Fourier-Jacobi coefficients of a function f in order to ensure that it belongs either to one of the generalized Lipschitz classes \({H}_{\alpha }^{m}\) and \({h}_{\alpha }^{m}\) for α > 0.
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Loualid, E.M., Elgargati, A. & Daher, R. Discrete Fourier-Jacobi Transform and Generalized Lipschitz Classes. Acta Math Vietnam 48, 259–269 (2023). https://doi.org/10.1007/s40306-022-00478-x
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DOI: https://doi.org/10.1007/s40306-022-00478-x
Keywords
- Discrete Fourier-Jacobi transform
- Boas-type theorems
- Generalized Lipschitz classes
- Generalized Zygmund classes