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Science/Engineering Harmonic Analysis on Spaces of Homogeneous Type

Posted on 2010-03-15




Name:Science/Engineering Harmonic Analysis on Spaces of Homogeneous Type
ASIN/ISBN:354088744X
Language:English
File size:1.7 Mb
Publish Date: 2008-12-01
ISBN: 354088744X
Pages: 154 pages
File Type: PDF
File Size: 1,7 MB
Other Info: Springer
   Science/Engineering Harmonic Analysis on Spaces of Homogeneous Type

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Donggao Deng, Yongsheng Han "Harmonic Analysis on Spaces of Homogeneous Type "

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.

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