Harmonic analysis on spaces of homogeneous type /

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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

MARC

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245 1 0 |a Harmonic analysis on spaces of homogeneous type /  |c Donggao Deng, Yongsheng Han ; with a preface by Yves Meyer. 
260 |a Berlin :  |b Springer,  |c ©2009. 
300 |a 1 online resource (xii, 154 pages) :  |b illustrations. 
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490 1 |a Lecture notes in mathematics,  |x 1617-9692 ;  |v 1966 
504 |a Includes bibliographical references (pages 149-151) and index. 
588 0 |a Print version record. 
505 0 |a Calde?on-Zygmund Operator on Space of Homogeneous Type -- The Boundedness of Calderón-Zygmund Operators on Wavelet Spaces -- Wavelet Expansions on Spaces of Homogeneous Type -- Wavelets and Spaces of Functions and Distributions -- Littlewood-Paley Analysis on Non Homogeneous Spaces. 
520 |a 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. 
650 0 |a Harmonic analysis.  |0 http://id.loc.gov/authorities/subjects/sh85058939 
650 0 |a Spaces of homogeneous type.  |0 http://id.loc.gov/authorities/subjects/sh2003010735 
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650 0 7 |a Harmonic analysis.  |2 cct 
650 7 |a Harmonic analysis.  |2 fast  |0 (OCoLC)fst00951490 
650 7 |a Spaces of homogeneous type.  |2 fast  |0 (OCoLC)fst01128125 
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650 7 |a Homogener Raum  |2 gnd  |0 (DE-588)4025787-3 
650 7 |a Analyse harmonique.  |2 rvm 
650 7 |a Espaces de types homogène.  |2 rvm 
655 4 |a Electronic books. 
700 1 |a Han, Yongsheng.  |0 http://id.loc.gov/authorities/names/n87137691  |1 http://viaf.org/viaf/43352900 
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