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A generalization of Helgason's support theorem

Takiguchi, Takashi
2001-07
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A generalization of Helgason's support theorem

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2001-07

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We discuss a generalization of Helgason's support theorem for the Radon transform. In this theorem, the assumption of rapid decay of functions is essential. We restrict this rapid decay condition to an open cone and give a generalization. We also mention that our generalization is not possible with no global decay condition, to prove which we construct a counterexample.

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Institute for Mathematics and Its Applications>IMA Preprints Series

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Takiguchi, Takashi. (2001). A generalization of Helgason's support theorem. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/3675.

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