TY  - BOOK
AU  - Triebel,Hans
AU  - Triebel,Hans
TI  - Bases in Function Spaces, Sampling, Discrepancy, Numerical integration
T2  - EMS Tracts in Mathematics (ETM)
SN  - 9783037195857
PY  - 2010///
CY  - Zuerich, Switzerland
PB  - European Mathematical Society Publishing House
KW  - Numerical analysis
KW  - bicssc
KW  - Functional analysis
KW  - msc
KW  - Approximations and expansions
KW  - Fourier analysis
KW  - Computer science
N1  - Restricted to subscribers
N2  - The first chapters of this book deal with Haar bases, Faber bases and some spline bases for function spaces in Euclidean n-space and n-cubes. This  is used in the subsequent chapters to study sampling and numerical integration preferably in spaces with dominating mixed smoothness. The subject of the last chapter is the symbiotic relationship between numerical integration and discrepancy, measuring the deviation of sets of points from uniformity.    This book is addressed to graduate students and mathematicians having a working knowledge of basic elements of function spaces and approximation  theory, and who are interested in the subtle interplay between function spaces, complexity theory and number theory (discrepancy)
UR  - https://doi.org/10.4171/085
UR  - http://www.ems-ph.org/img/books/triebel_mini2.jpg
ER  -