Harmonic Analysis on Spaces of Homogeneous Type / Edition 1

Harmonic Analysis on Spaces of Homogeneous Type / Edition 1

by Donggao Deng, Yongsheng Han
     
 

ISBN-10: 354088744X

ISBN-13: 9783540887447

Pub. Date: 11/28/2008

Publisher: Springer Berlin Heidelberg

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

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Overview

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.

Product Details

ISBN-13:
9783540887447
Publisher:
Springer Berlin Heidelberg
Publication date:
11/28/2008
Series:
Lecture Notes in Mathematics Series, #1966
Edition description:
2009
Pages:
160
Product dimensions:
6.10(w) x 9.20(h) x 0.40(d)

Table of Contents

1 Calderón-Zygmund Operator.- 2 Boundedness of CZO on Wavelet Space.- 3 Wavelet Expansions.- 4 Wavelets and Spaces of Functions.- 5 Non Homogeneous Spaces.

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