The Structure of Functions by Hans TriebelThe Structure of Functions by Hans Triebel

The Structure of Functions

byHans Triebel

Paperback | December 14, 2012

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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 bookFractals and Spectra.It is directed to mathematicians and (theoretical) physicists interested in the topics indicated and, in particular, how they are interrelated.

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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.
Title:The Structure of FunctionsFormat:PaperbackDimensions:425 pages, 23.5 × 15.5 × 0.02 inPublished:December 14, 2012Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3034805683

ISBN - 13:9783034805681


Table of Contents

Preface.- I Decompositions of Functions.- II Sharp Inequalities.- III Fractal Elliptic Operators.- IV Truncations and Semi-linear Equations.- References.- Symbols.- Index.