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035   $a(PPN)178155764
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100   $a20100601j20100601  fy             0
101 0 $aeng
135   $aurnn|mmmmamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aBases in Function Spaces, Sampling, Discrepancy, Numerical integration$b[electronic resource] /$fHans Triebel
210 3 $aZuerich, Switzerland $cEuropean Mathematical Society Publishing House$d2010
215   $a1 online resource (305 pages)
225 0 $aEMS Tracts in Mathematics (ETM)$v11
330   $aThe 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).
606   $aNumerical analysis$2bicssc
606   $aFunctional analysis$2msc
606   $aApproximations and expansions$2msc
606   $aFourier analysis$2msc
606   $aComputer science$2msc
615 07$aNumerical analysis
615 07$aFunctional analysis
615 07$aApproximations and expansions
615 07$aFourier analysis
615 07$aComputer science
686   $a46-xx$a41-xx$a42-xx$a68-xx$2msc
700   $aTriebel$b Hans$040793
801  0$bch0018173
906   $aBOOK
912   $a9910151931903321
996   $aBases in Function Spaces, Sampling, Discrepancy, Numerical integration$92565444
997   $aUNINA