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The Structure of Functions

The Structure of Functions

Hardcover

Series: Monographs in Mathematics, Book 97

Medical ReferenceCalculusGeneral Mathematics

ISBN10: 3764365463
ISBN13: 9783764365462
Publisher: Birkhauser
Published: Aug 1 2001
Pages: 425
Weight: 2.44
Height: 1.13 Width: 4.20 Depth: 11.46
Language: English
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.

Also from

Triebel, Hans

Also in

Calculus