**EMS Tracts in Mathematics**

Volume: 11;
2010;
305 pp;
Hardcover

MSC: Primary 46; 42; 68; 41;
**Print ISBN: 978-3-03719-085-2
Product Code: EMSTM/11**

List Price: $78.00

Individual Member Price: $62.40

# Bases in Function Spaces, Sampling, Discrepancy, Numerical Integration

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*Hans Triebel*

A publication of the European Mathematical Society

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.

#### Readership

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