ENGLISH

Bases in function spaces, sampling, discrepancy, numerical integration

By Triebel H.

Book information

Publisher
EMS
Year
2010
ISBN
303719085X, 9783037190852
Open Library ID
OL25090049M
Language
english
Format
PDF
Filesize
2 MB (1936087 bytes)
Series
EMS Tracts in Mathematics
Pages
306\306
Library
Kolxo3
Time added
2011-07-22 07:35:22

Description

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. These are 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 who have 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). A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society.

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