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Browsing by Author "Takiguchi, Takashi"

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