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- W1570869423 abstract "We determine upper asymptotic estimates of Kolmogorov and linear $n$-widths of unit balls in Sobolev and Besov norms in $L_{p}$-spaces on compact Riemannian manifolds. The proofs rely on estimates for the near-diagonal localization of the kernels of elliptic operators. We also summarize some of our previous results about approximations by eigenfunctions of elliptic operators on compact homogeneous manifolds." @default.
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- W1570869423 date "2013-01-01" @default.
- W1570869423 modified "2023-10-18" @default.
- W1570869423 title "𝑛-widths and approximation theory on compact Riemannian manifolds" @default.
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- W1570869423 doi "https://doi.org/10.1090/conm/603/12043" @default.
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