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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 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.
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About the Author:
Hans Triebel was professor of mathematics at the Friedrich-Schiller-University Jena, Germany.
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- PublisherBirkhäuser
- Publication date2001
- ISBN 10 3764365463
- ISBN 13 9783764365462
- BindingHardcover
- Number of pages440
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Book Description Condition: New. I Decompositions of Functions.- 1 Introduction, heuristics, and preliminaries.- 2 Spaces on ?n: the regular case.- 3 Spaces on ?n: the general case.- 4 An application: the Fubini property.- 5 Spaces on domains: localization and Hardy inequalities.- 6 Spaces. Seller Inventory # 449593844
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