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Harmonic Analysis on Spaces of Homogeneous Type / by Donggao Deng, Yongsheng Han; edited by J. -M. Morel, F. Takens, B. Teissier

Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: SpringerLink Bücher | Lecture notes in mathematics ; 1966Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009Description: Online-Ressource (digital)ISBN:
  • 9783540887454
Subject(s): Additional physical formats: 9783540887447 | Buchausg. u.d.T.: Harmonic analysis on spaces of homogeneous type. Berlin : Springer, 2009. XII, 154 S.DDC classification:
  • 515.2433
  • 515.9 23
  • 510
  • 510
MSC: MSC: *43-02 | 22-02RVK: RVK: SI 850 | SK 450LOC classification:
  • QA403.5-404.5
  • QA331-355
  • QA3
DOI: DOI: 10.1007/978-3-540-88745-4Online resources: Summary: 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 SpacesSummary: 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 purposePPN: PPN: 1647674158Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SXMS | ZDB-2-LNM | ZDB-2-SMA
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