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 Caldern̤-Zygmund school, the action today is taking place in spaces of homogeneo...

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Bibliographic Details
Main Authors: Deng, Donggao. (Author), Han, Yongsheng. (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.
Series:Lecture Notes in Mathematics, 1966
Subjects:
Online Access:https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-540-88745-4
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505 0 # |a 1 Caldern̤-Zygmund Operator -- 2 Boundedness of CZO on Wavelet Space -- 3 Wavelet Expansions -- 4 Wavelets and Spaces of Functions -- 5 Non Homogeneous Spaces. 
520 # # |a 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 Caldern̤-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. 
650 # 0 |a Mathematics. 
650 # 0 |a Harmonic analysis. 
650 # 0 |a Fourier analysis. 
650 # 0 |a Functional analysis. 
650 # 0 |a Differential equations, partial. 
650 1 4 |a Mathematics. 
650 2 4 |a Fourier Analysis. 
650 2 4 |a Abstract Harmonic Analysis. 
650 2 4 |a Functional Analysis. 
650 2 4 |a Approximations and Expansions. 
650 2 4 |a Partial Differential Equations. 
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