|
|||||
|
|
On Gauss-Weierstrass semigroups and inversion of potentials associated with the Bessel differential operator |
|
| Authors: | Mehmet Zeki Sarikaya Hüseyin Yildirim |
| Institution: | Department of Mathematics, Faculty of Science and Arts, Afyon Kocatepe University, Afyon- TURKEY |
| Abstract: | In this paper, we define the generalized Gauss-Weierstrass semigroups with Weierstrass kernel, and give some of their properties. Using them, we study the inversion formulas for the generalized Riesz and Bessel potentials, generated by the generalized shift operators and associated with the Laplace Bessel differential operator. |
| Keywords: | Bessel differential operator Bessel potential Riesz potential Schwartz space convolution semigroup Gauss-Weierstrass kernel |
| 本文献已被 维普 SpringerLink 等数据库收录！ | |