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Item Details
Title: THE STRUCTURE OF FUNCTIONS
By: Hans Triebel
Format: Paperback

List price: £64.99


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ISBN 10: 3034805683
ISBN 13: 9783034805681
Publisher: SPRINGER BASEL
Pub. date: 14 December, 2012
Edition: Reprint of the 1st edition 2001 by Birkhauser Verlag, Switzerland
Series: Modern Birkhauser Classics
Pages: 437
Description: Dealing with the constructive Weierstrassian approach to the theory of function spaces and its various applications, this volume combines the advantages of atomic and wavelet representations to enhanced theories in spectral fractal elliptics and semi-linear equations.
Synopsis: This book deals with the constructive Weierstrassian approach to the theory of function spaces and various applications. The first chapter is devoted to a detailed study of quarkonial (subatomic) decompositions of functions and distributions on euclidean spaces, domains, manifolds and fractals. This approach combines the advantages of atomic and wavelet representations. It paves the way to sharp inequalities and embeddings in function spaces, spectral theory of fractal elliptic operators, and a regularity theory of some semi-linear equations. The book is self-contained, although some parts may be considered as a continuation of the author's book Fractals and Spectra. It is directed to mathematicians and (theoretical) physicists interested in the topics indicated and, in particular, how they are interrelated. - - - The book under review can be regarded as a continuation of [his book on "Fractals and spectra", 1997] (...) There are many sections named: comments, preparations, motivations, discussions and so on. These parts of the book seem to be very interesting and valuable. They help the reader to deal with the main course. (Mathematical Reviews)
Illustrations: biography
Publication: Switzerland
Imprint: Springer Basel
Returns: Returnable
Some other items by this author:
ANALYSIS AND MATHEMATICAL PHYSICS (HB)
ANALYSIS UND MATHEMATISCHE PHYSIK (HB)
ANALYSIS UND MATHEMATISCHE PHYSIK (PB)
ANMERKUNGEN ZUR MATHEMATIK (HB)
BASES IN FUNCTION SPACES, SAMPLING, DISCREPANCY, NUMERICAL INTEGRATION (HB)
DISTRIBUTIONS, SOBOLEV SPACES, ELLIPTIC EQUATIONS (HB)
FABER SYSTEMS AND THEIR USE IN SAMPLING, DISCREPANCY, NUMERICAL INTEGRATION (PB)
FRACTALS AND SPECTRA (HB)
FRACTALS AND SPECTRA (PB)
FUNCTION SPACES AND WAVELETS ON DOMAINS (HB)
FUNCTION SPACES WITH DOMINATING MIXED SMOOTHNESS
FUNCTION SPACES, ENTROPY NUMBERS, DIFFERENTIAL OPERATORS
FUNCTION SPACES, ENTROPY NUMBERS, DIFFERENTIAL OPERATORS (HB)
FUNCTION SPACES, ENTROPY NUMBERS, DIFFERENTIAL OPERATORS (PB)
HIGHER ANALYSIS (HB)
LOCAL FUNCTION SPACES, HEAT AND NAVIER - STOKES EQUATIONS (HB)
PDE MODELS FOR CHEMOTAXIS AND HYDRODYNAMICS IN SUPERCRITICAL FUNCTION SPACES (PB)
STRUCTURE OF FUNCTIONS (HB)
SYMPOSIUM ANALYSIS ON MANIFOLDS WITH SINGULARITIES, BREITENBRUNN 1990
TEMPERED HOMOGENEOUS FUNCTION SPACES (PB)
THE STRUCTURE OF FUNCTIONS (PB)
THEORY OF FUNCTION SPACES (HB)
THEORY OF FUNCTION SPACES (HB)
THEORY OF FUNCTION SPACES (HB)
THEORY OF FUNCTION SPACES (PB)
THEORY OF FUNCTION SPACES II (HB)
THEORY OF FUNCTION SPACES II (PB)
THEORY OF FUNCTION SPACES IV
THEORY OF FUNCTION SPACES IV (HB)

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