Wavelet Expansions and Characterizations of Generalized Function Spaces on Spaces of Homogeneous Type.
碩士 === 國立東華大學 === 應用數學系 === 100 === There are three folds in this article. One purpose is to extend theory of harmonic analysis for spaces of homogeneous type in a more general setting. Another one is to deduce a wavelet expansion from a Calderon reproducing formula. The last one is to characterize...
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| Format: | Others |
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2012
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| Online Access: | http://ndltd.ncl.edu.tw/handle/xx3ugb |
| Summary: | 碩士 === 國立東華大學 === 應用數學系 === 100 === There are three folds in this article. One purpose is to extend theory of harmonic analysis for spaces of homogeneous type in a more general setting. Another one is to deduce a wavelet expansion from a Calderon reproducing formula. The last one is to characterize homogeneos Besov and Triebel-Lizorkin spaces by using an approximation to the identity or a wavelet expansion.
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