We study the Fourier-Laplace series on the unit sphere of higher dimensional Euclidean spaces and obtain a condition for convergence of Fourier- Laplace series on the unit sphere. The result generalizes Carleson’s Theorem to higher dimensional unit spheres.
Taiwanese J. Math.
13(3):
1053-1062
(2009).
DOI: 10.11650/twjm/1500405459
