Extension sets for real analytic functions and applications to Radon transforms
1996 ◽
Vol 19
(4)
◽
pp. 625-632
Keyword(s):
The Real
◽
The real analytic character of a functionf(x,y)is determined from its behavior along radial directionsfθ(s)=f(scosθ,ssinθ)forθ∈E, whereEis a small set. A support theorem for Radon transforms in the plane is proved. In particular iffθextends to an entire function forθ∈Eandf(x,y)is real analytic inℝ2then it also extends to an entire function inℂ2.