The Radon-Kipriyanov transform of the generalized spherical mean of a function (Q509050)
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scientific article; zbMATH DE number 6682143
| Language | Label | Description | Also known as |
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| English | The Radon-Kipriyanov transform of the generalized spherical mean of a function |
scientific article; zbMATH DE number 6682143 |
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The Radon-Kipriyanov transform of the generalized spherical mean of a function (English)
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8 February 2017
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The classical Funk-Radon-Helgason inversion method of mean value operators is extended to a certain Radon-like transform associated with the generalized translation and depending on multi-valued parameters in the corresponding weight function. The main ingredient in the inversion procedure is the relevant Erdélyi-Kober-type fractional integral operator arising in the corresponding radial case.
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Radon transform
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Radon-Kipriyanov transform
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radial function
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multiaxial spherical symmetry
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generalized spherical mean
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fractional integral
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fractional derivative
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