The Structure of Functions

Hans Triebel

ISBN 10: 3764365463 / ISBN 13: 9783764365462

Editore: Birkhäuser Basel, 2001

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Druck auf Anfrage Neuware - Printed after ordering - 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.

Codice articolo 9783764365462

Dati bibliografici

• Titolo: The Structure of Functions
• Editore: Birkhäuser Basel
• Data di pubblicazione: 2001
• Lingua: Inglese
• ISBN 10: 3764365463
• ISBN 13: 9783764365462
• Rilegatura: Buch
• Condizione: Neu
• Dimensioni: 260 L x 183 A x 30 P (millimetri) 260 millimetri di larghezza per 183 millimetri di altezza per 30 millimetri di profondità
• Peso: 1019 grammi

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Riassunto

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.