Faber Systems and Their Use in Sampling, Discrepancy, Numerical Integration

Download or Read eBook Faber Systems and Their Use in Sampling, Discrepancy, Numerical Integration PDF written by Hans Triebel and published by European Mathematical Society. This book was released on 2012 with total page 120 pages. Available in PDF, EPUB and Kindle.
Faber Systems and Their Use in Sampling, Discrepancy, Numerical Integration
Author :
Publisher : European Mathematical Society
Total Pages : 120
Release :
ISBN-10 : 3037191074
ISBN-13 : 9783037191071
Rating : 4/5 (74 Downloads)

Book Synopsis Faber Systems and Their Use in Sampling, Discrepancy, Numerical Integration by : Hans Triebel

Book excerpt: 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.


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