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.
Original language | English |
---|---|
Pages (from-to) | 1239-1250 |
Number of pages | 12 |
Journal | Comptes Rendus Mathematique |
Volume | 359 |
Issue number | 10 |
DOIs | |
Publication status | Published - 4 Jan 2022 |
ASJC Scopus subject areas
- Mathematics(all)