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＜電子ブック＞
Harmonic Analysis on Spaces of Homogeneous Type / by Donggao Deng, Yongsheng Han
(Lecture Notes in Mathematics. ISSN:16179692 ; 1966)

版	1st ed. 2009.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2009
本文言語	英語
大きさ	XII, 160 p : online resource
著者標目	*Deng, Donggao author Han, Yongsheng author SpringerLink (Online service)
件　名	LCSH:Functions of complex variables LCSH:Mathematical analysis LCSH:Fourier analysis LCSH:Harmonic analysis LCSH:Functional analysis LCSH:Approximation theory FREE:Functions of a Complex Variable FREE:Analysis FREE:Fourier Analysis FREE:Abstract Harmonic Analysis FREE:Functional Analysis FREE:Approximations and Expansions
一般注記	Calde?on-Zygmund Operator on Space of Homogeneous Type -- The Boundedness of Calderón-Zygmund Operators on Wavelet Spaces -- Wavelet Expansions on Spaces of Homogeneous Type -- Wavelets and Spaces of Functions and Distributions -- Littlewood-Paley Analysis on Non Homogeneous Spaces The dramatic changes that came about in analysis during the twentieth century are truly amazing. In the thirties, complex methods and Fourier series played a seminal role. After many improvements, mostly achieved by the Calderón-Zygmund school, the action today is taking place in spaces of homogeneous type. No group structure is available and the Fourier transform is missing, but a version of harmonic analysis is still available. Indeed the geometry is conducting the analysis. The authors succeed in generalizing the construction of wavelet bases to spaces of homogeneous type. However wavelet bases are replaced by frames, which in many applications serve the same purpose HTTP:URL=https://doi.org/10.1007/978-3-540-88745-4

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