Extension sets for real analytic functions and applications to Radon transforms

Vernor Arguedas and Ricardo Estrada

International Journal of Mathematics and Mathematical Sciences, 1996, vol. 19, 1-8

Abstract:

The real analytic character of a function f ( x , y ) is determined from its behavior along radial directions f θ ( s ) = f ( s cos θ , s sin θ ) for θ ∈ E , where E is a small set. A support theorem for Radon transforms in the plane is proved. In particular if f θ extends to an entire function for θ ∈ E and f ( x , y ) is real analytic in ℝ 2 then it also extends to an entire function in ℂ 2 .

Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:978462

DOI: 10.1155/S0161171296000889

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