Modern Birkhäuser Classics

Fractals and Spectra

Related to Fourier Analysis and Function Spaces

Authors: Triebel, Hans

  • Deals with the symbiotic relationship between the theory of function spaces, fractal geometry, and spectral theory of (fractal) pseudodifferential operators
  • Directed at mathematicians interested in functional analysis, the theory of function spaces, fractal geometry, partial and pseudodifferential operators
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eBook $69.99
price for USA (gross)
  • ISBN 978-3-0348-0034-1
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Softcover $89.99
price for USA
  • ISBN 978-3-0348-0033-4
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About this book

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

About the authors

Hans Triebel ist Professor der Mathematik an der Friedrich-Schiller-Universität Jena.

Table of contents (5 chapters)

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-3-0348-0034-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $89.99
price for USA
  • ISBN 978-3-0348-0033-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Fractals and Spectra
Book Subtitle
Related to Fourier Analysis and Function Spaces
Authors
Series Title
Modern Birkhäuser Classics
Copyright
1997
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Verlag
eBook ISBN
978-3-0348-0034-1
DOI
10.1007/978-3-0348-0034-1
Softcover ISBN
978-3-0348-0033-4
Series ISSN
2197-1803
Edition Number
1
Number of Pages
VIII, 272
Topics