报告题目: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:2014年6月4日(周三上午)11:00
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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