02226nam 22004575a 450 991015193190332120100601234500.03-03719-585-110.4171/085(CKB)3710000000953856(CH-001817-3)115-100601(PPN)178155764(EXLCZ)99371000000095385620100601j20100601 fy 0engurnn|mmmmamaatxtrdacontentcrdamediacrrdacarrierBases in Function Spaces, Sampling, Discrepancy, Numerical integration[electronic resource] /Hans TriebelZuerich, Switzerland European Mathematical Society Publishing House20101 online resource (305 pages)EMS Tracts in Mathematics (ETM)11The 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. This is 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 having 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).Numerical analysisbicsscFunctional analysismscApproximations and expansionsmscFourier analysismscComputer sciencemscNumerical analysisFunctional analysisApproximations and expansionsFourier analysisComputer science46-xx41-xx42-xx68-xxmscTriebel Hans40793ch0018173BOOK9910151931903321Bases in Function Spaces, Sampling, Discrepancy, Numerical integration2565444UNINA