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200 10$aFaber Systems and Their Use in Sampling, Discrepancy, Numerical Integration$b[electronic resource] /$fHans Triebel
210 3 $aZuerich, Switzerland $cEuropean Mathematical Society Publishing House$d2012
215   $a1 online resource (115 pages)
225 0 $aEMS Series of Lectures in Mathematics (ELM) ;$x2523-5176
330   $aThis 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.
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606   $aApproximations and expansions$2msc
606   $aFourier analysis$2msc
606   $aComputer science$2msc
615 07$aFunctional analysis
615 07$aFunctional analysis
615 07$aApproximations and expansions
615 07$aFourier analysis
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