ENGLISH

Faber systems and their use in sampling, discrepancy, numerical integration

Book information

Publisher
European Mathematical Society
Year
2012
ISBN
3037191074, 978-3-03719-107-1
Language
english
Format
PDF
Filesize
639 kB (654102 bytes)
Series
EMS Series of Lectures in Mathematics
Pages
115\115
Library
kolxoz
Time added
2015-12-12 14:00:00

Description

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

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