Harmonic analysis on spaces of homogeneous type /

Saved in:
Bibliographic Details
Author / Creator:Deng, Dong-Gao, 1935-
Imprint:Berlin : Springer, ©2009.
Description:1 online resource (xii, 154 pages) : illustrations.
Language:English
Series:Lecture notes in mathematics, 1617-9692 ; 1966
Lecture notes in mathematics (Springer-Verlag) ; 1966.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11071758
Hidden Bibliographic Details
Other authors / contributors:Han, Yongsheng.
ISBN:9783540887454
3540887458
354088744X
9783540887447
Notes:Includes bibliographical references (pages 149-151) and index.
Print version record.
Summary: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.
Other form:Print version: Deng, Dong-Gao, 1935- Harmonic analysis on spaces of homogeneous type. Berlin : Springer, ©2009 9783540887447
Standard no.:9786611904661