The real analytic character of a function f(x,y) is determined from its behavior along radial directions fθ(s) = f(s cos θ, s sin θ) for θ ∈ E, where Ε 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 ∈ Ε and ƒ (x, y) is real analytic in R2 then it also extends to an entire function in C2. © 1996, Hindawi Publishing Corporation. All rights reserved.
Publication Source (Journal or Book title)
International Journal of Mathematics and Mathematical Sciences
Arguedas, V., & Estrada, R. (1996). Extension Sets for Real Analytic Functions and Applications to Radon Transforms. International Journal of Mathematics and Mathematical Sciences, 19 (4), 625-632. https://doi.org/10.1155/S0161171296000889