ENGLISH

Harmonic Analysis on Spaces of Homogeneous Type

By Donggao Deng , Yongsheng Han (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2009
ISBN
354088744X, 9783540887447
DOI
10.1007/978-3-540-88745-4
LCC
QA403 .D455 2009
Open Library ID
OL24114953M
Language
english
Format
PDF
Filesize
2 MB (2117860 bytes)
Series
Lecture Notes in Mathematics 1966
Edition
1
Pages
160\166
Scanned
no
Time added
2011-01-06 10:13:16
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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