Archivio Istituzionale della RicercaWe prove pointwise bounds for two-parameter families of Jacobi polynomials. Our bounds imply estimates for a class of functions arising from the spectral analysis of distinguished Laplacians and sub-Laplacians on the unit sphere in arbitrary dimension, and are instrumental in the proof, discussed in a companion paper, of sharp multiplier theorems for those operators.
Uniform pointwise estimates for ultraspherical polynomials / Casarino, Valentina; Ciatti, Paolo; Martini, Alessio. - In: COMPTES RENDUS. MATHÉMATIQUE. - ISSN 1778-3569. - STAMPA. - 359:10(2021), pp. 1239-1250. [10.5802/crmath.255]
Uniform pointwise estimates for ultraspherical polynomials
Casarino, Valentina;Martini, Alessio
2021
Abstract
We prove pointwise bounds for two-parameter families of Jacobi polynomials. Our bounds imply estimates for a class of functions arising from the spectral analysis of distinguished Laplacians and sub-Laplacians on the unit sphere in arbitrary dimension, and are instrumental in the proof, discussed in a companion paper, of sharp multiplier theorems for those operators.
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Utilizza questo identificativo per citare o creare un link a questo documento:
https://hdl.handle.net/11583/2950142