Bases in Function Spaces, Sampling, Discrepancy, Numerical integration [electronic resource] / Hans Triebel
Material type:
TextSeries: EMS Tracts in Mathematics (ETM) ; 11Publisher: Zuerich, Switzerland : European Mathematical Society Publishing House, 2010Description: 1 online resource (305 pages)Content type: text Media type: computer Carrier type: online resourceISBN: 9783037195857Subject(s): Numerical analysis | Functional analysis | Approximations and expansions | Fourier analysis | Computer scienceOther classification: 46-xx | 41-xx | 42-xx | 68-xx Online resources: Click here to access online | cover image Summary: 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).
E-BOOKS
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|---|---|---|---|---|---|---|---|
| IMSc Library | IMSc Library | Link to resource | Available | EBK13793 |
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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).
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