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- W3000069723 abstract "We show that there exists an integrable function on the $n$-sphere $(n geq 2)$, whose Cesàro $(C, (n − 1)/2)$ means with respect to the spherical harmonic expansion diverge unboundedly almost everywhere. This extends results of Stein (1961) for flat tori and complements the work of Taibleson (1985) for spheres. We also study relations among Cesàro, Riesz, and Bochner–Riesz means." @default.
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- W3000069723 date "2020-01-07" @default.
- W3000069723 modified "2023-09-26" @default.
- W3000069723 title "Almost everywhere divergence of spherical harmonic expansions and equivalence of summation methods" @default.
- W3000069723 doi "https://doi.org/10.4171/rmi/1161" @default.
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