| Theory of Function Spaces III 2006 Edition Contributor(s): Triebel, Hans (Author) |
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ISBN: 3764375817 ISBN-13: 9783764375812 Publisher: Birkhauser OUR PRICE: $189.99 Product Type: Hardcover - Other Formats Published: July 2006 |
| Additional Information |
| BISAC Categories: - Mathematics | Mathematical Analysis - Mathematics | Transformations - Mathematics | Number Systems |
| Dewey: 515.73 |
| LCCN: 2006045089 |
| Series: Monographs in Mathematics |
| Physical Information: 1" H x 6.14" W x 9.21" (1.74 lbs) 426 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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. |