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On Gauss-Weierstrass Semigroups and Inversion of Potentials Associated with the Bessel Differential Operator 被引量：1

On Gauss-Weierstrass Semigroups and Inversion of Potentials Associated with the Bessel Differential Operator
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摘要 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. 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.
作者 Mehmet ZekiSARIKAYA HüseyinYILDIRIM
机构地区 Department of Mathematics
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2009年第10期1741-1758,共18页 数学学报（英文版）
关键词 Bessel differential operator Bessel potential Riesz potential Schwartz space convolution semigroup Gauss-Weierstrass kernel Bessel differential operator, Bessel potential, Riesz potential, Schwartz space, convolution,semigroup, Gauss-Weierstrass kernel
分类号 O175.3 [理学—数学] O174.22 [理学—基础数学]
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Acta Mathematica Sinica,English Series
2009年 第10期

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