Reconstructive Integral Geometry - V Palamodov Gebunden

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.