Jeon, Gihyeon 2025-05-22T06:31:19Z 2025-05-22T06:31:19Z 2025-05-21 2025-04 0003-6811 https://pubs.kist.re.kr/handle/201004/152497 The conical Radon transform is an integral transform that maps a given function f to its integral over a conical surface. In this study, we investigate the conical Radon transform with a fixed central axis and opening angle, considering the attenuation of radiation within the transform. Specifically, we explore the attenuated conical Radon transform. In this paper, we provide the range conditions for the attenuated conical Radon transform and its auxiliary transform. Range description of an operator is an important topic in mathematics, and it is useful for understanding the transform, completing incomplete data, improving reconstruction algorithm, correcting measurement errors. The range conditions of attenuated conical Radon transforms are given in terms of the hyperbolic differential operator. English Taylor & Francis Range description for an attenuated conical radon transform with fixed central axis and opening angle Article 10.1080/00036811.2025.2491643 1 Applicable Analysis, v.10, no.16, pp.3278 - 3290 Applicable Analysis 10 16 3278 3290 N scie scopus 001477618700001 2-s2.0-105003884629 Mathematics, Applied Mathematics Article COMPTON CAMERA INVERSION Radon transform cone transform range description Compton camera