Faber Systems and Their Use in Sampling, Discrepancy, Numerical Integration

Faber Systems and Their Use in Sampling, Discrepancy, Numerical Integration book cover

Faber Systems and Their Use in Sampling, Discrepancy, Numerical Integration

Author(s): Hans Triebel (Author)

  • Publisher: European Mathematical Society
  • Publication Date: March 15, 2012
  • Language: English
  • Print length: 115 pages
  • ISBN-10: 3037191074
  • ISBN-13: 9783037191071

Book Description

This book deals first with Haar bases, Faber bases and Faber frames for weighted function spaces on the real line and the plane. It extends results in the author’s book, “Bases in Function Spaces, Sampling, Discrepancy, Numerical Integration” (EMS, 2010), from unweighted spaces (preferably in cubes) to weighted spaces. The obtained assertions are used to study sampling and numerical integration in weighted spaces on the real line and weighted spaces with dominating mixed smoothness in the plane. A short chapter deals with the discrepancy for spaces on intervals. A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society.

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