Vanishing Moments of Wavelet Functions
碩士 === 逢甲大學 === 應用數學所 === 94 === In this thesis, firstly, we introduce several fundamental notions about orthonormal bases, Riesz bases and frames. Subsequently, if a scaling function generates a multiresolution analysis（MRA）, under some conditions we can prove that the integral of the scaling funct...
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| Format: | Others |
| Language: | en_US |
| Published: |
2006
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| Online Access: | http://ndltd.ncl.edu.tw/handle/60700203264305271461 |
| Summary: | 碩士 === 逢甲大學 === 應用數學所 === 94 === In this thesis, firstly, we introduce several fundamental notions about orthonormal bases, Riesz bases and frames. Subsequently, if a scaling function generates a multiresolution analysis（MRA）, under some conditions we can prove that the integral of the scaling function is nonzero. Finally, in wavelet analysis, we give some necessary conditions that a wavelet function has vanishing moments.
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