Keyword: Siegel Domain : Search

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articleNo Access
INVERSION OF THE RADON TRANSFORM ASSOCIATED WITH THE CLASSICAL DOMAIN OF TYPE ONE
- JIANXUN HE and
- HEPING LIU
International Journal of Mathematics01 Sep 2005
Preview Abstract
Let D(Ω,Φ) be the unbounded realization of the classical domain of type one. In general, its Šilov boundary is a nilpotent Lie group of step two. In this article we define the Radon transform on , and obtain an inversion formula in terms of a determinantal differential operator. Moreover, we characterize a subspace of on which the Radon transform is a bijection. By use of the suitable continuous wavelet transform we establish a new inversion formula of the Radon transform in weak sense without the assumption of differentiability.

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