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Bases in Function Spaces, Sampling, Discrepancy, Numerical Integration
Hans Triebel, University of Jena, Germany
A publication of the European Mathematical Society.
EMS Tracts in Mathematics
2010; 305 pp; hardcover
Volume: 11
ISBN-10: 3-03719-085-X
ISBN-13: 978-3-03719-085-2
List Price: US$78
Member Price: US$62.40
Order Code: EMSTM/11
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The first chapters of this book deal with Haar bases, Faber bases and some spline bases for function spaces in Euclidean \(n\)-space and \(n\)-cubes. These are used in the subsequent chapters to study sampling and numerical integration preferably in spaces with dominating mixed smoothness. The subject of the last chapter is the symbiotic relationship between numerical integration and discrepancy, measuring the deviation of sets of points from uniformity.

This book is addressed to graduate students and mathematicians who have a working knowledge of basic elements of function spaces and approximation theory and who are interested in the subtle interplay between function spaces, complexity theory and number theory (discrepancy).

A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society.


Graduate students and research mathematicians interested in complexity theory and number theory.

Table of Contents

  • Function spaces
  • Haar bases
  • Faber bases
  • Sampling
  • Numerical integration
  • Discrepancy
  • Bibliography
  • List of Figures
  • Symbols
  • Index
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