Reproducing Kernels Of Sobolev Spaces On R-D And Applications To Embedding Constants And Tractability

Erich Novak,Mario Ullrich,Henryk Wozniakowski,Shun Zhang

Analysis and Applications（2018）

引用 35|浏览16

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摘要

The standard Sobolev space W-2(s) (R-d), with arbitrary positive integers s and d for which s > d/2, has the reproducing kernelK-d,K-s(x, t) = integral(Rd) Pi(d)(j=1) cos(2 pi(x(j) - t(j))u(j))/1 + Sigma(0更多

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关键词

Reproducing kernels, tractability, Sobolev space

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