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＜電子ブック＞
Theory of Function Spaces III / by Hans Triebel
(Monographs in Mathematics. ISSN:22964886 ; 100)

版	1st ed. 2006.
出版者	(Basel : Birkhäuser Basel : Imprint: Birkhäuser)
出版年	2006
本文言語	英語
大きさ	XII, 426 p : online resource
著者標目	*Triebel, Hans author SpringerLink (Online service)
件　名	LCSH:Mathematical analysis LCSH:Functional analysis LCSH:Numerical analysis LCSH:Mathematical physics LCSH:Approximation theory FREE:Analysis FREE:Functional Analysis FREE:Numerical Analysis FREE:Mathematical Methods in Physics FREE:Approximations and Expansions
一般注記	How to Measure Smoothness -- Atoms and Pointwise Multipliers -- Wavelets -- Spaces on Lipschitz Domains, Wavelets and Sampling Numbers -- Anisotropic Function Spaces -- Weighted Function Spaces -- Fractal Analysis: Measures, Characteristics, Operators -- Function Spaces on Quasi-metric Spaces -- Function Spaces on Sets This book deals with the recent theory of function spaces as it stands now. Special attention is paid to some developments in the last 10–15 years which are closely related to the nowadays numerous applications of the theory of function spaces to some neighbouring areas such as numerics, signal processing and fractal analysis. In particular, typical building blocks as (non-smooth) atoms, quarks, wavelet bases and wavelet frames are discussed in detail and applied afterwards to some outstanding problems of the recent theory of function spaces such as a local smoothness theory, fractal measures, fractal analysis, spaces on Lipschitz domains and on quasi-metric spaces. The book is essentially self-contained, although it might also be considered as the continuation of the two previous books of the author with the same title which appeared as volumes 78 and 84 in this book series. It is directed to mathematicians working in analysis, numerics and fractal geometry, and to (theoretical) physicists interested in related subjects such as signal processing HTTP:URL=https://doi.org/10.1007/3-7643-7582-5

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