Modern Birkhäuser Classics

The Structure of Functions

Authors: Triebel, Hans

  • Self-contained, i.e. the main ideas can be understood independently of the existing literature   
  • Summarizes the results of the author and his co-workers in recent year  
  • The material is presented in such a way that the main ideas can be understood independently of the existing literature  
  • Addresses mathematicians and (theoretical) physicists​   
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  • ISBN 978-3-0348-0569-8
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About this book

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)

About the authors

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

Table of contents (4 chapters)

Buy this book

eBook $59.99
price for USA (gross)
  • ISBN 978-3-0348-0569-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $79.95
price for USA
  • ISBN 978-3-0348-0568-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
The Structure of Functions
Authors
Series Title
Modern Birkhäuser Classics
Copyright
2001
Publisher
Birkhäuser Basel
Copyright Holder
Springer Basel
eBook ISBN
978-3-0348-0569-8
DOI
10.1007/978-3-0348-0569-8
Softcover ISBN
978-3-0348-0568-1
Series ISSN
2197-1803
Edition Number
1
Number of Pages
XII, 425
Additional Information
Originally published as volume 97 in the Monographs in Mathematics series
Topics