The structure of functions /
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...
| Main Author: | |
|---|---|
| Corporate Author: | |
| Format: | eBook |
| Language: | English |
| Published: |
Basel :
Springer Basel AG,
[2001]
|
| Series: | Monographs in mathematics ;
v. 97. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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. |
|---|---|
| Item Description: | Originally published by Birkhäuser Verlag, Basel, Switzerland in 2001. Softcover reprint of the hardcover 1st edition 2001. Electronic resource. |
| Physical Description: | 1 online resource (xii, 425 pages) : illustrations. |
| Bibliography: | Includes bibliographical references (pages [403]-417) and index. |
| ISBN: | 9783034882576 (electronic bk.) 3034882572 (electronic bk.) |