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The paper deals with the k-plane transform $${\mathcal {R}}_{k}$$ on the Heisenberg group. We study the properties of the transform $${\mathcal {R}}_{k}$$ and obtain three types of inversion formulas for… Click to show full abstract
The paper deals with the k-plane transform $${\mathcal {R}}_{k}$$ on the Heisenberg group. We study the properties of the transform $${\mathcal {R}}_{k}$$ and obtain three types of inversion formulas for $${\mathcal {R}}_{k}$$. 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 $${\mathcal {R}}_{k}$$ and the wavelet, respectively.
Keywords:
transform heisenberg;
group;
heisenberg group;
heisenberg;
plane transform
Journal Title: Journal of Pseudo-Differential Operators and Applications
Year Published: 2019
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Journal Title: Journal of Pseudo-Differential Operators and Applications
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!