Reproducing kernels of Sobolev spaces on ℝd and applications to embedding constants and tractability

DOI10.1142/S0219530518500094zbMath1405.46022arXiv1709.02568OpenAlexW3105541982MaRDI QIDQ5375970

Shun Zhang, Erich Novak, Mario Ullrich, Henryk Woźniakowski

Publication date: 17 September 2018

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.02568

zbMATH Keywords

Sobolev spacereproducing kernelstractability

Mathematics Subject Classification ID

Analysis of algorithms and problem complexity (68Q25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Complexity and performance of numerical algorithms (65Y20) Numerical integration (65D30)

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