Theory of Function Spaces III

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Éditeur :

Birkhäuser


Collection :

Monographs in Mathematics

Paru le : 2006-09-10

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Description
This book may be considered as the continuation of the monographs [Tri?]and [Tri?] with the same title. It deals with the theory of function spaces of type s s B and F as it stands at the beginning of this century. These two scales of pq pq spacescovermanywell-knownspacesoffunctionsanddistributionssuchasH¨ older- Zygmundspaces,(fractionalandclassical)Sobolevspaces,BesovspacesandHardy spaces. On the one hand this book is essentially self-contained. On the other hand we concentrate principally on those developments in recent times which are related to the nowadays numerous applications of function spaces to some neighboring areas such as numerics, signal processing and fractal analysis, to mention only a few of them. Chapter 1 in [Tri?] is a self-contained historically-oriented survey of the function spaces considered and their roots up to the beginning of the 1990s entitled How to measure smoothness. Chapter 1 of the present book has the same heading indicating continuity. As far as the history is concerned we will now be very brief, restricting ourselves to the essentials needed to make this book self-contained and readable. We complement [Tri?], Chapter 1, by a few points omitted there. But otherwise we jump to the 1990s, describing more recent developments. Some of them will be treated later on in detail.
Pages
426 pages
Collection
Monographs in Mathematics
Parution
2006-09-10
Marque
Birkhäuser
EAN papier
9783764375812
EAN PDF
9783764375829

Informations sur l'ebook
Nombre pages copiables
4
Nombre pages imprimables
42
Taille du fichier
3226 Ko
Prix
179,34 €