Quaternion algebra-valued wavelet transform (Q2906097)
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scientific article; zbMATH DE number 6073375
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quaternion algebra-valued wavelet transform |
scientific article; zbMATH DE number 6073375 |
Statements
28 August 2012
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continuous quaternion wavelet transform
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quaternion algebra
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Clifford algebra
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quaternion-valued function
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quaternion Fourier transform
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admissible quaternion wavelet
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inner product relation
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reproducing formula
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0.93113893
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0.9227366
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0.92145514
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0.9188541
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0.9157903
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Quaternion algebra-valued wavelet transform (English)
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The author considers the continuous quaternion wavelet transform of a quaternion-valued bivariate \(L^2\)-function, which was studied in [\textit{M. Bahri}, \textit{R. Ashino} and \textit{R. Vaillancourt}, Appl. Math. Comput. 218, No. 1, 10 -- 21 (2011; Zbl 1232.65192)]. He gives an alternative proof for the inner product relation of the continuous quaternion wavelet transform.
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