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An Axiomatic Approach To Function Spaces Spectral Synthesis And Luzin Approximation


Author : Lars Inge Hedberg
language : en
Publisher: American Mathematical Soc.
Release Date : 2007

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The authors define axiomatically a large class of function (or distribution) spaces on $N$-dimensional Euclidean space. The crucial property postulated is the validity of a vector-valued maximal inequality of Fefferman-Stein type. The scales of Besov spaces ($B$-spaces) and Lizorkin-Triebel spaces ($F$-spaces), and as a consequence also Sobolev spaces, and Bessel potential spaces, are included as special cases. The main results of Chapter 1 characterize our spaces by means of local approximations, higher differences, and atomic representations. In Chapters 2 and 3 these results are applied to prove pointwise differentiability outside exceptional sets of zero capacity, an approximation property known as spectral synthesis, a generalization of Whitney's ideal theorem, and approximation theorems of Luzin (Lusin) type.

The Kingfisher Student Atlas


Author :
language : en
Publisher: Kingfisher Books
Release Date : 2003-10-31

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Download The Kingfisher Student Atlas written by and has been published by Kingfisher Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-10-31 with Juvenile Nonfiction categories.


A wide-ranging atlas begins by examining Earth's place in the solar system and includes thematic maps showing climate, vegetation, and population, followed by the main atlas section, organized by continent, which includes physical and political maps.

Comparative Labor Law Policy Journal


Author :
language : en
Publisher:
Release Date : 1997

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Public Documents Of The State Of Wisconsin


Author : Wisconsin
language : en
Publisher:
Release Date : 1912

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Waldeinsamkeit


Author :
language : en
Publisher: Benjamin Carruth
Release Date :

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Breuiarium Sacri Ordinis Praedicatorum Auct Apost Approbatum Et R Mi P F Antonini Cloche Eiusdem Ord Is Gen S Mag Ri Iussi Editum Pars 1 2


Author :
language : la
Publisher:
Release Date : 1692

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Report Of Investigations


Author :
language : en
Publisher:
Release Date : 1991

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