Invertibility of the Radon Kγ-Transform of Lebesgue Integrable Functions with Integer |γ| and an Analog of the Plancherel Formula


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We study invertibility of the Radon Kγ-transform (Kipriyanov–Radon transform) with a natural parameter |γ| and prove an analog of the Plancherel formula.

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L. Lyakhov

Voronezh State University

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Email: levnlya@mail.ru
俄罗斯联邦, 1, Universitetskaya pl., Voronezh, 394006

M. Lapshina

Lipetsk State Pedagogical University

Email: levnlya@mail.ru
俄罗斯联邦, 42, Lenina St., Lipetsk, 398020

V. Zelyukina

Lipetsk State Pedagogical University

Email: levnlya@mail.ru
俄罗斯联邦, 42, Lenina St., Lipetsk, 398020

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