Shun Zhang

activity

20152025

most citedReproducing Kernels of Sobolev Spaces on

R^{d}

and Applications to Embedding Constants and Tractability

17 citations · 21 across the 3 of their papers we have counts for

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2 papers · 1 filter

math.NA2017★ 17 cited

Reproducing Kernels of Sobolev Spaces on $R^{d}$ and Applications to Embedding Constants and Tractability

Erich Novak, Mario Ullrich, Henryk Woźniakowski +1

The standard Sobolev space $W_{2}^{s} (R^{d})$ , with arbitrary positive integers $s$ and $d$ for which $s > d /2$ , has the reproducing kernel $$ K_{d,s}(x,t)=\int_{\mathbb{R}^d}\fra…

math.NA2015★ 2 cited

Complexity of Oscillatory Integrals on the Real Line

Erich Novak, Mario Ullrich, Henryk Woźniakowski +1

We analyze univariate oscillatory integrals defined on the real line for functions from the standard Sobolev space $H^{s} (R)$ and from the space $C^{s} (R)$ with a…

Reproducing Kernels of Sobolev Spaces on Rd and Applications to Embedding Constants and Tractability

Complexity of Oscillatory Integrals on the Real Line

Reproducing Kernels of Sobolev Spaces on $R^{d}$ and Applications to Embedding Constants and Tractability