A multiplier theorem for ultraspherical polynomials
Tom 247 / 2019
Studia Mathematica 247 (2019), 1-43
MSC: Primary 42C10.
DOI: 10.4064/sm8331-2-2018
Opublikowany online: 5 November 2018
Streszczenie
The main concern of this paper is to adapt a result of Garrigós and Seeger (2008) regarding radial Fourier multipliers acting on L^{p} radial functions on \mathbb {R}^{d} to L^{p} zonal multipliers acting on zonal functions on the unit sphere S^{d}.