http://dspace.bsu.edu.ru/handle/123456789/42330| Title: | Distributions supported on conical surfaces and generated convolutions |
| Authors: | Vasilyev, V. B. |
| Keywords: | mathematics mathematical analysis Fourier transform boundary conditions pseudodifferential equation variable change operator distributions |
| Issue Date: | 2020 |
| Citation: | Vasilyev, V.B. Distributions supported on conical surfaces and generated convolutions / V.B. Vasilyev // Journal of Mathematical Sciences. - 2020. - Vol.249, №6.-P. 885-893. - Doi: 10.1007/s10958-020-04981-0. - Refer.: p. 892-893. |
| Abstract: | We describe the structure of distributions supported on conical surfaces and calculate the Fourier transform for some cones. The results are represented as convolutions with particular kernels. We use transmutation operators owing to which it is possible to clarify connections between the change of variables for a distribution and its Fourier transform |
| URI: | http://dspace.bsu.edu.ru/handle/123456789/42330 |
| Appears in Collections: | Статьи из периодических изданий и сборников (на иностранных языках) = Articles from periodicals and collections (in foreign languages) |
| File | Description | Size | Format | |
|---|---|---|---|---|
| Vasilev_Distributions.pdf | 148.3 kB | Adobe PDF | View/Open |
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