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https://dspace.iiti.ac.in/handle/123456789/17792
| Title: | A unified inversion formula for the k-plane transform on constant curvature spaces using Wavelet-like transforms |
| Authors: | Deshmukh, Aniruddha V. |
| Issue Date: | 2026 |
| Publisher: | Taylor and Francis Ltd. |
| Citation: | Deshmukh, A. v. (2026). A unified inversion formula for the k-plane transform on constant curvature spaces using Wavelet-like transforms. Integral Transforms and Special Functions. https://doi.org/10.1080/10652469.2025.2612541 |
| Abstract: | In this article, we derive a unified inversion formula for the k-dimensional totally geodesic Radon transform on simply connected spaces of constant curvature, namely (Formula presented.), (Formula presented.), and (Formula presented.). The unification of the formulae is motivated from the observation that the geometries of constant curvature spaces are interlinked. To obtain the unified inversion formula, we use wavelet-like transforms. © 2026 Informa UK Limited, trading as Taylor & Francis Group. |
| URI: | https://dx.doi.org/10.1080/10652469.2025.2612541 https://dspace.iiti.ac.in:8080/jspui/handle/123456789/17792 |
| ISSN: | 1065-2469 |
| Type of Material: | Journal Article |
| Appears in Collections: | Department of Mathematics |
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