Bøger af Victor Palamodov

This book presents both long-standing and recent mathematical results from this field in a uniform way. It focuses on exact analytic formulas for reconstructing a function or a vector field from data of integrals over lines, rays, circles, arcs, parabolas, hyperbolas, planes, hyperplanes, spheres, and paraboloids. The book also addresses range characterizations and collects necessary definitions and elementary facts from geometry and analysis. Coverage is motivated by both applications and pure mathematics.

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. 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.

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. 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.