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An analog of Chang inversion formula for weighted Radon transforms in multidimensions

Fedor GoncharovMIPT - Moscow Institute of Physics and Technology [Moscow] (9 Institutskiy per., Dolgoprudny, Moscow Region, 141701 - Russia)Roman NovikovCMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique (École Polytechnique Route de Saclay 91128 Palaiseau Cedex - France)
2016en
ABI

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In this work we study weighted Radon transforms in multidimensions. We\nintroduce an analog of Chang approximate inversion formula for such transforms\nand describe all weights for which this formula is exact. In addition, we\nindicate possible tomographic applications of inversion methods for weighted\nRadon transforms in 3D.\n

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