Book Details


Search page | Title Index  | Author Index

Preface | Table of Contents | MARC record  | Metadata XML  | e-Book PDF (1271 KB)
Faber Systems and Their Use in Sampling, Discrepancy, Numerical Integration
EMS Series of Lectures in Mathematics

Hans Triebel (University of Jena, Germany)

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

ISBN print 978-3-03719-107-1, ISBN online 978-3-03719-607-6
DOI 10.4171/107
March 2012, 115 pages, softcover, 17 x 24 cm.
28.00 Euro

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.

The book is addressed to graduate students and mathematicians having a working knowledge of basic elements of function spaces and approximation theory.

Keywords: Function spaces, Haar bases, Faber bases, Faber frames, numerical integration, discrepancy


Further Information

Review in Zentralblatt MATH 1246.46001

Review in MR 2918244

BACK TO TOP