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Tempered Homogeneous Function Spaces
 
Hans Triebel Friedrich Schiller University Jena, Germany
A publication of European Mathematical Society
Tempered Homogeneous Function Spaces
Softcover ISBN:  978-3-03719-155-2
Product Code:  EMSSERLEC/21
List Price: $38.00
AMS Member Price: $30.40
Please note AMS points can not be used for this product
Tempered Homogeneous Function Spaces
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Tempered Homogeneous Function Spaces
Hans Triebel Friedrich Schiller University Jena, Germany
A publication of European Mathematical Society
Softcover ISBN:  978-3-03719-155-2
Product Code:  EMSSERLEC/21
List Price: $38.00
AMS Member Price: $30.40
Please note AMS points can not be used for this product
  • Book Details
     
     
    EMS Series of Lectures in Mathematics
    Volume: 212015; 143 pp
    MSC: Primary 46; 42

    This book deals with homogeneous function spaces of Besov–Sobolev type within the framework of tempered distributions in Euclidean \(n\)-space based on Gauss–Weierstrass semi-groups. Related Fourier-analytical descriptions and characterizations in terms of derivatives and differences are incorporated after as so-called domestic norms. This approach avoids the usual ambiguities modulo polynomials when homogeneous function spaces are considered in the context of homogeneous tempered distributions.

    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, the book might be of interest for researchers dealing with (nonlinear) heat and Navier–Stokes equations in homogeneous function spaces.

    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 tempered distributions and homogeneous function spaces.

  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 212015; 143 pp
MSC: Primary 46; 42

This book deals with homogeneous function spaces of Besov–Sobolev type within the framework of tempered distributions in Euclidean \(n\)-space based on Gauss–Weierstrass semi-groups. Related Fourier-analytical descriptions and characterizations in terms of derivatives and differences are incorporated after as so-called domestic norms. This approach avoids the usual ambiguities modulo polynomials when homogeneous function spaces are considered in the context of homogeneous tempered distributions.

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, the book might be of interest for researchers dealing with (nonlinear) heat and Navier–Stokes equations in homogeneous function spaces.

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 tempered distributions and homogeneous function spaces.

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.