EMS Series of Lectures in Mathematics 2012; 115 pp; softcover Volume: 16 ISBN10: 3037191074 ISBN13: 9783037191071 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
