Fractals and Spectra / Modern Birkhäuser Classics (PDF)
Related to Fourier Analysis and Function Spaces
(Sprache: Englisch)
Fractals and Spectra
Hans Triebel
This book deals with the symbiotic relationship between the theory of function spaces, fractal geometry, and spectral theory of (fractal) pseudodifferential operators as it has emerged quite recently.
Atomic and...
Hans Triebel
This book deals with the symbiotic relationship between the theory of function spaces, fractal geometry, and spectral theory of (fractal) pseudodifferential operators as it has emerged quite recently.
Atomic and...
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Fractals and Spectra
Hans Triebel
This book deals with the symbiotic relationship between the theory of function spaces, fractal geometry, and spectral theory of (fractal) pseudodifferential operators as it has emerged quite recently.
Atomic and quarkonial (subatomic) decompositions in scalar and vector valued function spaces on the euclidean n-space pave the way to study properties (compact embeddings, entropy numbers) of function spaces on and of fractals. On this basis, distributions of eigenvalues of fractal (pseudo)differential operators are investigated. Diverse versions of fractal drums are played.
The book is directed to mathematicians interested in functional analysis, the theory of function spaces, fractal geometry, partial and pseudodifferential operators, and, in particular, in how these domains are interrelated.
------
It is worth mentioning that there is virtually no literature on this topic and hence the most of the presented material is published here the first time.
- Zentralblatt MATH
(...) the monograph presents in a self-contained and very readable and lively form a new, intriguing and potentially very useful chapter of the theory of pseudodifferential operators.
- Mathematical Reviews
The book deals with a very recent topic and presents the significant contributions of the author. It is directed to mathematicians interested in the interrelations between function spaces and fractal geometry and is also of interest for graduate students.
- Operator Theory Reviews
Hans Triebel
This book deals with the symbiotic relationship between the theory of function spaces, fractal geometry, and spectral theory of (fractal) pseudodifferential operators as it has emerged quite recently.
Atomic and quarkonial (subatomic) decompositions in scalar and vector valued function spaces on the euclidean n-space pave the way to study properties (compact embeddings, entropy numbers) of function spaces on and of fractals. On this basis, distributions of eigenvalues of fractal (pseudo)differential operators are investigated. Diverse versions of fractal drums are played.
The book is directed to mathematicians interested in functional analysis, the theory of function spaces, fractal geometry, partial and pseudodifferential operators, and, in particular, in how these domains are interrelated.
------
It is worth mentioning that there is virtually no literature on this topic and hence the most of the presented material is published here the first time.
- Zentralblatt MATH
(...) the monograph presents in a self-contained and very readable and lively form a new, intriguing and potentially very useful chapter of the theory of pseudodifferential operators.
- Mathematical Reviews
The book deals with a very recent topic and presents the significant contributions of the author. It is directed to mathematicians interested in the interrelations between function spaces and fractal geometry and is also of interest for graduate students.
- Operator Theory Reviews
Autoren-Porträt von Hans Triebel
Hans Triebel ist Professor der Mathematik an der Friedrich-Schiller-Universität Jena.
Bibliographische Angaben
- Autor: Hans Triebel
- 2010, Reprint of the 1997 Edition, 272 Seiten, Englisch
- Verlag: Birkhäuser Basel
- ISBN-10: 3034800347
- ISBN-13: 9783034800341
- Erscheinungsdatum: 17.10.2010
Abhängig von Bildschirmgröße und eingestellter Schriftgröße kann die Seitenzahl auf Ihrem Lesegerät variieren.
eBook Informationen
- Dateiformat: PDF
- Größe: 5.55 MB
- Ohne Kopierschutz
- Vorlesefunktion
Sprache:
Englisch
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