Faber systems and their use in sampling, discrepancy, numerical integration
Hans Triebel
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. A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society
Կատեգորիաներ:
Տարի:
2012
Հրատարակչություն:
European Mathematical Society
Լեզու:
english
Էջեր:
115
ISBN 10:
3037191074
ISBN 13:
9783037191071
Սերիաներ:
EMS Series of Lectures in Mathematics
Ֆայլ:
PDF, 639 KB
IPFS:
,
english, 2012