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    走向现代数学-系列学术报告(何建勋教授)

    编辑: 发布时间:2014-06-03 点击:

    时间 地点
    主讲人

    告题目Wavelet Transform and Radon Transform on the Quaternion Heisenberg Group
    报告人:何建勋(广州大学教授, 博士生导师)
    报告时间201464日(周三上午)1100
    报告地点:数学实验室(工北412
    Abstract
    Let Q be the quaternion Heisenberg group, and let P be the affine automorphism group of
    Q. We develop the theory of continuous wavelet transform on the quaternion Heisenberg group via the unitary representations. A class of radial wavelets is constructed. The inverse wavelet
    transform is simplified by using radial wavelets. We also give an inversion formula by using wavelets, which does not require the smoothness of functions if the wavelet is smooth. In addition, we obtain an inversion formula of the Radon transform associated with the sub-Laplacian on Q.

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