Harmonic Analysis on Spaces of Homogeneous Type

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 homogeneo...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Deng, Donggao (Συγγραφέας), Han, Yongsheng (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.
Σειρά:Lecture Notes in Mathematics, 1966
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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100 1 |a Deng, Donggao.  |e author. 
245 1 0 |a Harmonic Analysis on Spaces of Homogeneous Type  |h [electronic resource] /  |c by Donggao Deng, Yongsheng Han. 
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490 1 |a Lecture Notes in Mathematics,  |x 0075-8434 ;  |v 1966 
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 Mathematics. 
650 0 |a Mathematical analysis. 
650 0 |a Analysis (Mathematics). 
650 0 |a Harmonic analysis. 
650 0 |a Approximation theory. 
650 0 |a Fourier analysis. 
650 0 |a Functional analysis. 
650 0 |a Functions of complex variables. 
650 1 4 |a Mathematics. 
650 2 4 |a Functions of a Complex Variable. 
650 2 4 |a Analysis. 
650 2 4 |a Fourier Analysis. 
650 2 4 |a Abstract Harmonic Analysis. 
650 2 4 |a Functional Analysis. 
650 2 4 |a Approximations and Expansions. 
700 1 |a Han, Yongsheng.  |e author. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9783540887447 
830 0 |a Lecture Notes in Mathematics,  |x 0075-8434 ;  |v 1966 
856 4 0 |u http://dx.doi.org/10.1007/978-3-540-88745-4  |z Full Text via HEAL-Link 
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950 |a Mathematics and Statistics (Springer-11649)