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Catalogue Information
Field name	Details
Dewey Class	515.7
Title	The Structure of Functions ([EBook]) / by Hans Triebel
Author	Triebel, Hans. , 1936-
Other name(s)	SpringerLink (Online service)
Publication	Basel : Springer Basel , 2001
Physical Details	XII, 425 p. : online resource.
Series	Modern Birkhäuser classics
ISBN	9783034805698
Summary Note	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).:
Contents note	Preface -- I Decompositions of Functions -- II Sharp Inequalities -- III Fractal Elliptic Operators -- IV Truncations and Semi-linear Equations -- References -- Symbols -- Index.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-0348-0569-8
Links to Related Works	Subject References: Abstract Harmonic Analysis . Functional Analysis . Harmonic analysis . Mathematics . Measure and Integration . Measure theory . Operator Theory . Partial differential equations . Authors: Triebel, Hans. 1936- . Corporate Authors: SpringerLink (Online service) . Series: Modern Birkhäuser classics . Classification: 515.7 .

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The Structure of Functions

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