http://dspace.bsu.edu.ru/handle/123456789/41618| Title: | Space of images of the mixed Riesz hyperbolic B-potential and analytic continuation |
| Authors: | Polovinkin, I. Shishkina, E. Sitnik, S. |
| Keywords: | mathematics mathematical analysis Bessel operator mixed Riesz hyperbolic B-potential weighted Radon transform Lorentzian manifolds |
| Issue Date: | 2019 |
| Citation: | Polovinkin, I. Space of images of the mixed Riesz hyperbolic B-potential and analytic continuation / I. Polovinkin, E. Shishkina, S. Sitnik // Journal Inverse Ill-Posed Problems. - 2019. - Vol.27, №2.-P. 171-184. - Doi.org/10.1515/jiip-2017-0112. - Refer.: p. 183-184 |
| Abstract: | In this paper we prove semigroup properties for the mixed Riesz hyperbolic B-potential, find its analytic continuation and describe a space of images of mixed hyperbolic Riesz B-potentials. This problem is closely related to the problem of inversion of the weighted Radon transform on Lorentzian manifolds |
| URI: | http://dspace.bsu.edu.ru/handle/123456789/41618 |
| Appears in Collections: | Статьи из периодических изданий и сборников (на иностранных языках) = Articles from periodicals and collections (in foreign languages) |
| File | Description | Size | Format | |
|---|---|---|---|---|
| Sitnik_Space.pdf | 751 kB | Adobe PDF | View/Open |
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