论文标题
加权球形平均值的反转
Inversion of the Weighted Spherical Mean
论文作者
论文摘要
该论文包含加权球形平均值的反转公式。在过去的六十年中，重建函数通过其积分不可或缺的函数增长了，受到新的问题和图像重建方法的刺激。在广义翻译起作用而不是规则的情况下，我们考虑了经典球形平均值及其逆的概括。作为一种特殊情况，此问题包括球形手段对径向对称函数的作用。
The paper contains the inversion formula for the weighted spherical mean. The interest to reconstruction a function by its integral by sphere grews tremendously in the last six decades, stimulated by the spectrum of new problems and methods of image reconstruction. We consider a generalization of the classical spherical mean and its inverse in the case when generalized translation acts to function instead of regular. As a particular case this problem includes action of spherical means on radially symmetric functions.
