Hyperbolic Cross Approximation

This book provides a systematic survey of classical and recent results on hyperbolic cross approximation. Motivated by numerous applications, the last two decades have seen great success in studying multivariate approximation. Multivariate problems have proven to be considerably more difficult than...

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Bibliographic Details
Main Authors: Dũng, Dinh, Temlyakov, Vladimir (Author), Ullrich, Tino (Author)
Other Authors: Tikhonov, Sergey (Editor)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2018, 2018
Edition:1st ed. 2018
Series:Advanced Courses in Mathematics - CRM Barcelona
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Introduction
  • Trigonometric polynomials
  • Function spaces on T d
  • Linear approximation
  • Sampling recovery
  • Entropy numbers
  • Best m-term approximation
  • Numerical integration
  • Related problems
  • High-dimensional approximation
  • Appendix