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Catalogue Information
Field name	Details
Dewey Class	515
Title	Fractals and Spectra ([EBook]) : Related to Fourier Analysis and Function Spaces / by Hans Triebel
Author	Triebel, Hans. , 1936-
Other name(s)	SpringerLink (Online service)
Edition statement	Reprint of the 1997 edition
Publication	Basel : Springer Basel , 2011
Physical Details	VIII, 272 pages : online resource.
Series	Modern Birkhäuser classics
ISBN	9783034800341
Summary Note	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.:
Contents note	Fractals -- ?p-spaces -- Function spaces on ?n -- Function spaces on and of fractals -- Spectra of fractal pseudodifferential operators.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-0348-0034-1
Links to Related Works	Subject References: Analysis . Analysis (Mathematics) . Mathematical analysis . Mathematics . Authors: Triebel, Hans. 1936- . Corporate Authors: SpringerLink (Online service) . Series: Modern Birkhäuser classics . Classification: 515 . 515 (DDC 23) .

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Fractals and Spectra: Related to Fourier Analysis and Function Spaces

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