TY  - BOOK
AU  - Triebel,Hans
AU  - Triebel,Hans
TI  - Faber Systems and Their Use in Sampling, Discrepancy, Numerical Integration
T2  - EMS Series of Lectures in Mathematics (ELM)
SN  - 9783037196076
PY  - 2012///
CY  - Zuerich, Switzerland
PB  - European Mathematical Society Publishing House
KW  - Functional analysis
KW  - bicssc
KW  - msc
KW  - Approximations and expansions
KW  - Fourier analysis
KW  - Computer science
N1  - Restricted to subscribers
N2  - 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
UR  - https://doi.org/10.4171/107
UR  - http://www.ems-ph.org/img/books/triebel-mini-lec.jpg
ER  -