Triebel, Hans,
Faber Systems and Their Use in Sampling, Discrepancy, Numerical Integration [electronic resource] / Hans Triebel - Zuerich, Switzerland : European Mathematical Society Publishing House, 2012 - 1 online resource (115 pages) - EMS Series of Lectures in Mathematics (ELM) .
Restricted to subscribers: http://www.ems-ph.org/ebooks.php
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. The book is addressed to graduate students and mathematicians having a working knowledge of basic elements of function spaces and approximation theory.
9783037196076
10.4171/107 doi
Functional analysis
Functional analysis
Approximations and expansions
Fourier analysis
Computer science
Faber Systems and Their Use in Sampling, Discrepancy, Numerical Integration [electronic resource] / Hans Triebel - Zuerich, Switzerland : European Mathematical Society Publishing House, 2012 - 1 online resource (115 pages) - EMS Series of Lectures in Mathematics (ELM) .
Restricted to subscribers: http://www.ems-ph.org/ebooks.php
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. The book is addressed to graduate students and mathematicians having a working knowledge of basic elements of function spaces and approximation theory.
9783037196076
10.4171/107 doi
Functional analysis
Functional analysis
Approximations and expansions
Fourier analysis
Computer science