Fractals and spectra : related to Fourier analysis and function spaces
著者
書誌事項
Fractals and spectra : related to Fourier analysis and function spaces
（Monographs in mathematics, v. 91）
Birkhäuser, c1997
- : sz
- : us
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注記
Includes bibliographical references (p. [260]-266) and index
内容説明・目次
内容説明
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. Most of the presented material is published here for the first time. 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.
目次
- Preface
- I Fractals
- II lp-spaces
- III Function spaces on Rn
- IV Function spaces on and of fractals
- V Spectra of fractal pseudodifferential operators
- References Symbols
- Index
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