On distributional finite continuous Radon transform in certain spaces

Nitu Gupta; V. R. Lakshmi Gorty; Nitu Gupta; V. R. Lakshmi Gorty

doi:10.3934/math.2021023

AIMS Mathematics

2021, Volume 6, Issue 1: 378-389. doi: 10.3934/math.2021023

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Research article

On distributional finite continuous Radon transform in certain spaces

Nitu Gupta ,
V. R. Lakshmi Gorty ^,

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

Received: 27 June 2020 Accepted: 11 October 2020 Published: 15 October 2020
MSC : 44A20, 44A45, 46F10, 46F12

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.
- 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[J]. AIMS Mathematics, 2021, 6(1): 378-389. doi: 10.3934/math.2021023

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Abstract

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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