Inversion of the two dimensional Radon transformation by diagonalisation
نویسنده
چکیده
Based on an explicit diagonalisation of Abel’s integral operator, we give an inversion of the plane Radon transformation R(f)(p, θ) = ∫ {x cos(θ)+y sin(θ)=p} f(x, y) ds by diagonalising explicitly R̃(f)(r, φ) = R(f(r, φ)/r). We calculate the spectrum and the kernel of R̃.
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