A support theorem for the complex Radon transform
- Autores: A. B. Sekerin
- Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 50, Fasc. 3, 1999, págs. 221-228
- Idioma: inglés
- Enlaces
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Resumen
Let $C_c(\mathbb{C}^n)$ be the space of compactly supported continuous functions on $\mathbb{C}^n$. For $f\in C_c(\mathbb{C}^n),\hat f$ denotes the complex Radon transform of $f$. We say that for a compact set $K$ the support theorem holds if every function $\varphi\in C_c(\mathbb{C}^n)$ with supp$(\hat\varphi)\subset\hat K$ vanishes outside $K$. The goal of this paper is to establish conditions on $K$ under which the support theorem holds for $K$.
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