International Journal of Mathematics and Mathematical Sciences (Jan 1996)

Extension sets for real analytic functions and applications to Radon transforms

  • Vernor Arguedas,
  • Ricardo Estrada

DOI
https://doi.org/10.1155/s0161171296000889
Journal volume & issue
Vol. 19, no. 4
pp. 625 – 632

Abstract

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The real analytic character of a function f(x,y) is determined from its behavior along radial directions fθ(s)=f(scosθ,ssinθ) for θ∈E, where E is a “small” set. A support theorem for Radon transforms in the plane is proved. In particular if fθ extends to an entire function for θ∈E and f(x,y) is real analytic in ℝ2 then it also extends to an entire function in ℂ2.

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