Harmonic Analysis on Spaces of Homogeneous Type (Lecture Notes in Mathematics): 1966 - Brossura

Libro 8 di 20: Lecture Notes in Mathematics

Deng, Donggao

 
9783540887447: Harmonic Analysis on Spaces of Homogeneous Type (Lecture Notes in Mathematics): 1966

Sinossi

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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Dalla quarta di copertina

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.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

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9783540889342: Harmonic Analysis on Spaces of Homogeneous Type (Lecture Notes in Mathematics)

Edizione in evidenza

ISBN 10:  3540889345 ISBN 13:  9783540889342
Casa editrice: Springer, 2009
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