The Structure of Functions (Paperback)

Hans Triebel

ISBN 10: 3034805683 / ISBN 13: 9783034805681

Published by Springer Basel, Basel, 2012

About this Item

Paperback. 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) This book deals with the constructive Weierstrassian approach to the theory of function spaces and various applications. - - - 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Seller Inventory # 9783034805681

Bibliographic Details

• Title: The Structure of Functions (Paperback)
• Publisher: Springer Basel, Basel
• Publication Date: 2012
• Language: English
• ISBN 10: 3034805683
• ISBN 13: 9783034805681
• Binding: Paperback
• Condition: new

About this title

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)

About the Author

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