Harmonic Analysis on Spaces of Homogeneous Type
Donggao Deng, Yongsheng Han (auth.)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.
Kategoriler:
Yıl:
2009
Baskı:
1
Yayımcı:
Springer-Verlag Berlin Heidelberg
Dil:
english
Sayfalar:
160
ISBN 10:
354088744X
ISBN 13:
9783540887447
Seriler:
Lecture Notes in Mathematics 1966
Dosya:
PDF, 2.02 MB
IPFS:
,
english, 2009
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