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Function spaces with dominating mixed smoothness

Author: Hans Triebel
Publisher: Zuerich, Switzerland : European Mathematical Society, 2019.
Series: EMS series of lectures in mathematics.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
The first part of this book is devoted to function spaces in Euclidean $n$-space with dominating mixed smoothness. Some new properties are derived and applied in the second part where weighted spaces with dominating mixed smoothness in arbitrary bounded domains in Euclidean $n$-space are introduced and studied. This includes wavelet frames, numerical integration and discrepancy, measuring the deviation of sets of  Read more...
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Genre/Form: Electronic books
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Hans Triebel
ISBN: 9783037196953 3037196955
OCLC Number: 1078615123
Description: 1 online resource (210 pages).
Series Title: EMS series of lectures in mathematics.
Responsibility: Hans Triebel.
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Abstract:

The first part of this book is devoted to function spaces in Euclidean $n$-space with dominating mixed smoothness. Some new properties are derived and applied in the second part where weighted spaces with dominating mixed smoothness in arbitrary bounded domains in Euclidean $n$-space are introduced and studied. This includes wavelet frames, numerical integration and discrepancy, measuring the deviation of sets of points from uniformity.These notes are addressed to graduate students and mathematicians having a working knowledge of basic elements of the theory of function spaces, especially of Besov-Sobolev type. In particular, it will be of interest for researchers dealing with approximation theory, numerical integration and discrepancy.

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