This book covers facts and methods for the reconstruction of a
function in a real affine or projective space from data of
integrals, particularly over lines, planes, and spheres. Recent
results stress explicit analytic methods. Coverage includes the
relations between algebraic integral geometry and partial
differential equations. The first half of the book includes the
ray, the spherical mean transforms in the plane or in 3-space, and
inversion from incomplete data.
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