Abstract
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.
Citation
Ming-gang Fei. Tao Qian. "A NOTE ON POINTWISE CONVERGENCE FOR EXPANSIONS IN SURFACE HARMONICS OF HIGHER DIMENSIONAL EUCLIDEAN SPACES." Taiwanese J. Math. 13 (3) 1053 - 1062, 2009. https://doi.org/10.11650/twjm/1500405459
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