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This title in other editions

The Structure of Functions (Modern Birkh User Classics)

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The Structure of Functions (Modern Birkh User Classics) Cover

 

Synopses & Reviews

Publisher Comments:

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. - - -

Synopsis:

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.

About the Author

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

Table of Contents

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

Product Details

ISBN:
9783034805681
Author:
Triebel, Hans
Publisher:
Birkhauser
Location:
Basel
Subject:
Functional Analysis
Subject:
atomic and wavelet representations
Subject:
embeddings in function spaces
Subject:
quarkonial decompositions of functions and distributions
Subject:
regularity theory of semi-linear equations
Subject:
sharp inequalities
Subject:
spectral theory of fractal elliptic operators
Subject:
Measure and Integration
Subject:
abstract harmonic analysis
Subject:
PARTIAL DIFFERENTIAL EQUATIONS
Subject:
Operator theory
Subject:
Mathematics-Calculus
Subject:
regularity theo
Subject:
ry of semi-linear equations
Subject:
Mathematics
Subject:
The Arts
Subject:
mathematics and statistics
Subject:
Harmonic analysis
Subject:
Differential equations, partial
Copyright:
Edition Description:
2013
Series:
Modern Birkhäuser Classics
Publication Date:
20121110
Binding:
TRADE PAPER
Language:
English
Pages:
437
Dimensions:
235 x 155 mm

Related Subjects

Health and Self-Help » Health and Medicine » General
Health and Self-Help » Health and Medicine » General Medicine
Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Mathematics » Calculus » General
Science and Mathematics » Mathematics » Differential Equations
Science and Mathematics » Mathematics » Functional Analysis
Science and Mathematics » Mathematics » Physics
Science and Mathematics » Mathematics » Probability and Statistics » General
Science and Mathematics » Mathematics » Probability and Statistics » Statistics

The Structure of Functions (Modern Birkh User Classics) New Trade Paper
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Product details 437 pages Springer - English 9783034805681 Reviews:
"Synopsis" by , 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.
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