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Fractals and Spectra: Related to Fourier Analysis and Function Spaces by Hans Triebel

Fractals and Spectra: Related to Fourier Analysis and Function Spaces

by Hans Triebel
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Book cover type: Paperback
  • ISBN13: 9783034800334
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Birkhauser
  • Publication Date:
  • Pages: 272
  • Original Price: EUR 49.99
  • Language: English
  • Edition: N/A
  • Item Weight: 427 grams
  • BISAC Subject(s): Mathematical Analysis

From the Back Cover
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 ist Professor der Mathematik an der Friedrich-Schiller-Universität Jena.

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