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Bases in Function Spaces, Sampling, Discrepancy, Numerical Integration
 
Hans Triebel University of Jena, Germany
A publication of European Mathematical Society
Bases in Function Spaces, Sampling, Discrepancy, Numerical Integration
Hardcover ISBN:  978-3-03719-085-2
Product Code:  EMSTM/11
List Price: $78.00
AMS Member Price: $62.40
Please note AMS points can not be used for this product
Bases in Function Spaces, Sampling, Discrepancy, Numerical Integration
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Bases in Function Spaces, Sampling, Discrepancy, Numerical Integration
Hans Triebel University of Jena, Germany
A publication of European Mathematical Society
Hardcover ISBN:  978-3-03719-085-2
Product Code:  EMSTM/11
List Price: $78.00
AMS Member Price: $62.40
Please note AMS points can not be used for this product
  • Book Details
     
     
    EMS Tracts in Mathematics
    Volume: 112010; 305 pp
    MSC: Primary 46; 42; 68; 41;

    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.

    Readership

    Graduate students and research mathematicians interested in complexity theory and number theory.

  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 112010; 305 pp
MSC: Primary 46; 42; 68; 41;

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.

Readership

Graduate students and research mathematicians interested in complexity theory and number theory.

Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.