The Structure of Functions (Paperback, Reprint of the 1st edition 2001 by Birkhauser Verlag, Switzerland)

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. - - - 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)

General

Imprint:	Birkhauser Verlag AG
Country of origin:	Switzerland
Series:	Modern Birkhauser Classics
Release date:	December 2012
First published:	2001
Authors:	Hans Triebel
Dimensions:	235 x 155 x 22mm (L x W x T)
Format:	Paperback
Pages:	425
Edition:	Reprint of the 1st edition 2001 by Birkhauser Verlag, Switzerland
ISBN-13:	978-3-03-480568-1
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Integral equations
LSN:	3-03-480568-3
Barcode:	9783034805681

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