ENGLISH

Harmonic Analysis on Spaces of Homogeneous Type

By Donggao Deng , Yongsheng Han (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2009
ISBN
978-3-540-88744-7, 978-3-540-88745-4
DOI
10.1007/978-3-540-88745-4
Language
english
Format
PDF
Filesize
3 MB (3063855 bytes)
Series
Lecture Notes in Mathematics 1966
Edition
1
Pages
160\166
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Fourier Analysis; Abstract Harmonic Analysis; Func

Description

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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