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Titlebook: Harmonic Analysis on Spaces of Homogeneous Type; Donggao Deng,Yongsheng Han Book 2009 Springer-Verlag Berlin Heidelberg 2009 Calderon-Zygm

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Wavelets and Spaces of Functions and Distributions,operties. This implies that most functional spaces will be characterized by simple size properties of the wavelet coefficients in (4.3). These wavelet expansions and characterization of functional spaces will constitute the heart of this book, which will be given in this chapter.
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Book 2009alysis on a set? Harmonic analysis on groups has a long tradition. Here we are given a metric set X with a (positive) Borel measure ? and we would like to construct some algorithms which in the classical setting rely on the Fourier transformation. Needless to say, the Fourier transformation does not
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0075-8434 dressing the following issue: Is it possible to perform some harmonic analysis on a set? Harmonic analysis on groups has a long tradition. Here we are given a metric set X with a (positive) Borel measure ? and we would like to construct some algorithms which in the classical setting rely on the Four
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,Caldeŕon-Zygmund Operator on Space of Homogeneous Type,ain topological measure spaces which are equipped with a metric which is compatible with the given measure in a sense which will be detailed in this chapter. These spaces are called spaces of homogeneous type. In this chapter we present the major notational conventions and basic results of the theor
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,The Boundedness of Calderón-Zygmund Operators on Wavelet Spaces,ygmund operators whose kernels satisfy an additional smoothness condition are bounded on .. This result will be a crucial tool to provide wavelet expansions of functions and distributions on spaces of homogeneous type in the next chapter..We first introduce test functions on spaces of homogeneous ty
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ommon tasks. The mission of smart space is to provide, for its inhabitants, with context–dependent information, communication, services, reminders and personalized recommendations in a user–friendly mode where and when needed in ubiquitous and unobtrusive style. The smart space R&D uses large divers
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