The classical finite continuous Radon transform is extended to generalized functions on certain spaces. The inversion formula by the kernel method is shown in a weak distributional sense. In the concluding section, its application in Mathematical Physics is discussed.

中文翻译：

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某些空间中的分布有限连续Radon变换

经典有限连续Radon变换扩展到某些空间上的广义函数。核方法的反演公式显示为弱分布。在最后一节中，讨论了其在数学物理中的应用。