The Radon Transform on Function Spaces Related to Homogenous Spaces

2017/02/21 by Tajedin Derikvand, Derikvand, T., Rajab Ali Kamyabi Gol +3
Computer Science · Mathematics · #Digital Image Processing Techniques #FOS: Mathematics #Mathematical Analysis and Transform Methods #Medical Image Segmentation Techniques #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1702.06432

openalex publication_date 2017/02/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We are going to study some conditions on which the Radon transform and its dual are invertible. Two function spaces are introduced that the Radon transform on which is bijective linear operator. In this regards, a reconstruction formula is constructed. Finally the results are supported by an example.

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