AIMS Mathematics, 2021, 6(1): 378-389. doi: 10.3934/Math.2021023.

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On distributional finite continuous Radon transform in certain spaces

SVKM’s NMIMS University, MPSTME, V. L. Mehta Road, Vile Parle (W), Mumbai, Maharashtra, 400056, India

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.
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Keywords finite continuous Radon transform; testing spaces; inversion; kernel method

Citation: Nitu Gupta, V. R. Lakshmi Gorty. On distributional finite continuous Radon transform in certain spaces. AIMS Mathematics, 2021, 6(1): 378-389. doi: 10.3934/Math.2021023


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