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Clifford-hermite wavelets in euclidean space

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Abstract

Specific kernel functions for the continuous wavelet transform in higher dimension and new continuous wavelet transforms are presented within the framework of Clifford analysis. Their relationship with the heat equation and the newly introduced wavelet differential equation is established.

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Author notes

  1. F. Brackx & F. Sommen

    Present address: Department of Mathematical Analysis, University of Ghent, Galglaan 2, B-9000, Gent, Belgium

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    1. F. Brackx
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    2. F. Sommen
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    Communicated by Carlos Berenstein

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    Brackx, F., Sommen, F. Clifford-hermite wavelets in euclidean space. The Journal of Fourier Analysis and Applications 6, 299–310 (2000). https://doi.org/10.1007/BF02511157

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    • DOI: https://doi.org/10.1007/BF02511157

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