PDF Fractals and Spectra: Related to Fourier Analysis and Function Spaces

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Checkout Your Cart Price. Description Details Customer Reviews 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.

Introduction to Fourier Analysis on Euclidean Spaces

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.


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Harmonic analysis is concerned with investigating the behavior of functions localized at different scales. Classically, this localization is realized by examining frequency space. Similarly, fractals are concerned with behavior at varying scales in particular, self-similarity at many scales. Wong Oct 11 '12 at Also google for Kakeya problem.

Complex Exponential Fourier Series

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Fractals and spectra related to fourier analysis and function spaces …

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