Geodesic
Dual Radon—Kipriyanov transformation. Basic properties
Contemporary Mathematics. Fundamental Directions, Proceedings of the Voronezh Winter Mathematical Krein School — 2024, Tome 70 (2024) no. 4, pp. 643-653 Cet article a éte moissonné depuis la source Math-Net.Ru

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The Radon–Kipriyanov transformation ($K_\gamma$) was introduced in 1998. In theoretical and applied studies, it is necessary to introduce its dual transformation, which is denoted by $K_\gamma^{\#}$ in the paper. Theorems on the boundedness of the $K_\gamma^{\#}$ transformation in the corresponding Schwartz subspace of the main functions are proved. A formula for representing the generalized convolution of $K_\gamma^{\#}$-transformations of functions belonging to the corresponding spaces of the main functions is obtained.
Keywords: Radon–Kipriyanov transformation, generalized convolution.
Mots-clés : Fourier transformation, Fourier–Bessel transformation 
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L. N. Lyakhov; V. A. Kalitvin; M. G. Lapshina. Dual Radon—Kipriyanov transformation. Basic properties. Contemporary Mathematics. Fundamental Directions, Proceedings of the Voronezh Winter Mathematical Krein School — 2024, Tome 70 (2024) no. 4, pp. 643-653. http://geodesic.mathdoc.fr/item/CMFD_2024_70_4_a10/

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