Radon transforms and Gegenbauer–Chebyshev integrals, I

被引：0
作者：
Boris Rubin
机构：
[1] Louisiana State University,Department of Mathematics
来源：
Analysis and Mathematical Physics | 2017年 / 7卷
关键词：
Radon transform; Support theorems; Gegenbauer–Chebyshev fractional integrals; 44A12; 44A15;
D O I：
暂无
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学科分类号：
摘要：
We suggest new modifications of the Helgason’s support theorem and description of the kernel for the hyperplane Radon transform and its dual. The assumptions for functions are formulated in integral terms and close to minimal. The proofs rely on the properties of the Gegenbauer–Chebyshev integrals which generalize Abel type fractional integrals on the positive half-line.
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页码：117 / 150
页数：33
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