Authors:
- Presentation of the recent theory of function spaces based on building blocks: atoms, quarks, wavelets
- Includes theory of function spaces on Lipschitz domains
- Continues the books Theory of Function Spaces (3-7643-1381-1) and Theory of Function Spaces II (3-7643-2639-5)
- Includes supplementary material: sn.pub/extras
Part of the book series: Monographs in Mathematics (MMA, volume 100)
Buy it now
Buying options
Tax calculation will be finalised at checkout
Other ways to access
This is a preview of subscription content, log in via an institution to check for access.
Table of contents (9 chapters)
-
Front Matter
-
Back Matter
About this book
Reviews
From the reviews:
"This book can be considered the third volume in an impressive series of books on theory of function spaces…but at the same time it is quite self-contained…The book is…extremely well-written, and reader-friendly, and it contains an enormous amount of deep and interesting material. It is strongly recommended to anybody interested in function spaces or in any of the related areas." —Mathematical Reviews
"This book is to be considered as the continuation of the author's two monographs [‘Theory of function spaces' [and] ‘Theory of function spaces. II']; however, it is essentially self-contained and comprehensive…The author's other two monographs have already yielded deep influence to the development of the theory of function spaces. It is reasonable to expect that the present book will also push this field further. It should be extremely useful to graduate students and experts in the fields of fractal analysis, signal processing, numerics, harmonic analysis, PDE, real analysis, approximation theory and functional analysis." —Zentralblatt MATH
“This book is the third part in a famous series of books on the theory of function spaces by the same author. … After an intriguing historical survey in the introductory chapter, the book presents thorough discussions of typical building blocks as non-smooth atoms, quarks, wavelet bases, and wavelet frames. … The current volume is an impressive and comprehensive account of the state of the art and can to a large extent be read independently … .” (G. Hörmann, Monatshefte für Mathematik, Vol. 155 (2), October, 2008)
Authors and Affiliations
-
Mathematisches Institut, Friedrich-Schiller-Universität Jena Mathematisches Institut, Jena
Hans Triebel
Bibliographic Information
Book Title: Theory of Function Spaces III
Authors: Hans Triebel
Series Title: Monographs in Mathematics
DOI: https://doi.org/10.1007/3-7643-7582-5
Publisher: Birkhäuser Basel
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Basel 2006
Hardcover ISBN: 978-3-7643-7581-2
eBook ISBN: 978-3-7643-7582-9
Series ISSN: 1017-0480
Series E-ISSN: 2296-4886
Edition Number: 1
Number of Pages: XII, 426
Topics: Analysis, Functional Analysis, Numerical Analysis, Mathematical Methods in Physics, Approximations and Expansions