The Structure of Functions

Hans Triebel

ISBN 10: 3764365463 / ISBN 13: 9783764365462

Published by Birkhäuser Basel, Birkhäuser Basel Aug 2001, 2001

About this Item

Neuware -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' (MMA 91). It is directed to mathematicians and (theoretical) physicists interested in the topics indicated and, in particular, how they are interrelated.Birkhäuser Verlag GmbH, Im Westfeld 8, 4055 Basel 440 pp. Englisch.

Seller Inventory # 9783764365462

Bibliographic Details

• Title: The Structure of Functions
• Publisher: Birkhäuser Basel, Birkhäuser Basel Aug 2001
• Publication Date: 2001
• Language: English
• ISBN 10: 3764365463
• ISBN 13: 9783764365462
• Binding: Buch
• Condition: Neu

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" (MMA 91). It is directed to mathematicians and (theoretical) physicists interested in the topics indicated and, in particular, how they are interrelated.

About the Author

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