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David MitchellDavid Mitchell's newest mind-bending, time-skipping novel may be his most accomplished work yet. Written in six sections, one per decade, The Bone... Continue »
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25 Remote Warehouse Mathematics- Analysis General

Fractals and Spectra: Related to Fourier Analysis and Function Spaces (Modern Birkhauser Classics)

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Fractals and Spectra: Related to Fourier Analysis and Function Spaces (Modern Birkhauser Classics) Cover

 

Synopses & Reviews

Publisher Comments:

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

Synopsis:

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. Most of the presented material is published here for the first time.

About the Author

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

Table of Contents

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

Product Details

ISBN:
9783034800334
Author:
Triebel, Hans
Publisher:
Birkhauser
Subject:
Mathematics-Analysis General
Subject:
Mathematical Analysis
Subject:
Fourier analysis
Subject:
Functional Analysis
Subject:
entropy numbers
Subject:
Fractal Geometry
Subject:
Function spaces.
Subject:
Pseudodifferential operators.
Subject:
Analysis
Copyright:
Edition Description:
Reprint of the 1997 Edition
Series:
Modern Birkhäuser Classics
Publication Date:
20101028
Binding:
TRADE PAPER
Language:
English
Pages:
280
Dimensions:
235 x 155 mm 880 gr

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Fractals and Spectra: Related to Fourier Analysis and Function Spaces (Modern Birkhauser Classics) New Trade Paper
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Product details 280 pages Springer - English 9783034800334 Reviews:
"Synopsis" by , 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. Most of the presented material is published here for the first time.
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