Integral formulas on projective space and the Radon transform of Gindikin-Henkin-Polyakov (Q1112213)

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scientific article; zbMATH DE number 4077691
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Integral formulas on projective space and the Radon transform of Gindikin-Henkin-Polyakov
scientific article; zbMATH DE number 4077691

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    Integral formulas on projective space and the Radon transform of Gindikin-Henkin-Polyakov (English)
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    1988
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    This paper presents nicely the theory of Radon transform of Gindikin- Henkin-Polyakov for a q-concave domain of \({\mathbb{P}}_ n\) via a variant of Koppelman' formula for (0,q)-forms with values in a line bundle on \({\mathbb{P}}_ n\). The ``injectivity'' of the Radon transform and the inversion formula are proved.
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    integral formula
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    Radon transform
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    q-concave domain
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