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<p>The limited angle Radon transform with weights is not always injective on compactly supported smooth functions. In this article, we prove that the set of non-injective weights is topologically negligible among positive smooth functions so injectivity is the “generic” phenomena.</p>

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Generic injectivity of the limited angle Radon transform with weights

  • 期刊论文

  • 发表日期：

    2026年3月31日

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  • Yiran Wang

摘要

The limited angle Radon transform with weights is not always injective on compactly supported smooth functions. In this article, we prove that the set of non-injective weights is topologically negligible among positive smooth functions so injectivity is the “generic” phenomena.