The k-plane transform on the Heisenberg group

Autor: Xiao, Jinsen, He, Jianxun
Zdroj: Journal of Pseudo-Differential Operators and Applications; March 2020, Vol. 11 Issue: 1 p289-309, 21p
Abstrakt: The paper deals with the k-plane transform Rkon the Heisenberg group. We study the properties of the transform Rkand obtain three types of inversion formulas for Rk. The first inversion is deduced with the help of the group Fourier transform, together with the partial Riesz potential and Heisenberg sublaplacian. By this formula, another two formulas are established in terms with the adjoint of Rkand the wavelet, respectively.
Databáze: Supplemental Index