Email this article Invertibility of the Radon Kγ-Transform of Lebesgue Integrable Functions with Integer |γ| and an Analog of the Plancherel Formula
- Authors: Lyakhov L.N.1, Lapshina M.G.2, Zelyukina V.S.2
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Affiliations:
- Voronezh State University
- Lipetsk State Pedagogical University
- Issue: Vol 231, No 3 (2018)
- Pages: 355-366
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/241151
- DOI: https://doi.org/10.1007/s10958-018-3825-x
- ID: 241151
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Abstract
We study invertibility of the Radon Kγ-transform (Kipriyanov–Radon transform) with a natural parameter |γ| and prove an analog of the Plancherel formula.
About the authors
L. N. Lyakhov
Voronezh State University
Author for correspondence.
Email: levnlya@mail.ru
Russian Federation, 1, Universitetskaya pl., Voronezh, 394006
M. G. Lapshina
Lipetsk State Pedagogical University
Email: levnlya@mail.ru
Russian Federation, 42, Lenina St., Lipetsk, 398020
V. S. Zelyukina
Lipetsk State Pedagogical University
Email: levnlya@mail.ru
Russian Federation, 42, Lenina St., Lipetsk, 398020
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