02247nam 22004575a 450 991015192720332120120316234500.03-03719-607-610.4171/107(CKB)3710000000953886(CH-001817-3)147-120316(PPN)17815606X(EXLCZ)99371000000095388620120316j20120316 fy 0engurnn|mmmmamaatxtrdacontentcrdamediacrrdacarrierFaber Systems and Their Use in Sampling, Discrepancy, Numerical Integration[electronic resource] /Hans TriebelZuerich, Switzerland European Mathematical Society Publishing House20121 online resource (115 pages)EMS Series of Lectures in Mathematics (ELM) ;2523-5176This 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.Functional analysisbicsscFunctional analysismscApproximations and expansionsmscFourier analysismscComputer sciencemscFunctional analysisFunctional analysisApproximations and expansionsFourier analysisComputer science46-xx41-xx42-xx68-xxmscTriebel Hans40793ch0018173BOOK9910151927203321Faber Systems and Their Use in Sampling, Discrepancy, Numerical Integration2567863UNINA