Reconstructive Integral Geometry

Reconstructive Integral Geometry
ISBN-10
3034879415
ISBN-13
9783034879415
Category
Mathematics
Pages
164
Language
English
Published
2012-12-06
Publisher
Birkhäuser
Author
Victor Palamodov

Description

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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