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The Structure of Functions by Hans Triebel

The Structure of Functions

by Hans Triebel
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Book cover type: Paperback
  • ISBN13: 9783034805681
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Birkhauser
  • Publication Date:
  • Pages: 425
  • Original Price: EUR 49.99
  • Language: English
  • Edition: 2001
  • Item Weight: 660 grams
  • BISAC Subject(s): Calculus, General, and Differential Equations / General

From the Back Cover

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)

Hans Triebel was professor of mathematics at the Friedrich-Schiller-University Jena, Germany.

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