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Faber Systems and Their Use in Sampling, Discrepancy, Numerical Integration
Hans Triebel, Friedrich-Schiller University of Jena, Germany
A publication of the European Mathematical Society.
 EMS Series of Lectures in Mathematics 2012; 115 pp; softcover Volume: 16 ISBN-10: 3-03719-107-4 ISBN-13: 978-3-03719-107-1 List Price: US$36 Member Price: US$28.80 Order Code: EMSSERLEC/16 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. Readership Graduate students and mathematicians having a working knowledge of basic elements of function spaces and approximation theory. Table of Contents Introduction, definitions, basic assertions Spaces on intervals Spaces on the real line Spaces on the plane Bibliography Symbols Index