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• Anotace
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Anotace knihy

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. 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.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Calculus & mathematical analysis

• Plný název: Fractals and Spectra
• Podnázev: Related to Fourier Analysis and Function Spaces
• Autor: Hans Triebel
• Jazyk: Angličtina
• Vazba: Brožovaná
• Počet stran: 272
• EAN: 9783034800334
• ISBN: 3034800339
• ID: 01438824
• Nakladatelství: Springer Basel
• Hmotnost: 880 g
• Rozměry: 235 × 155 × 23 mm
• Datum vydání: 28. October 2010

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