Reconstructive Integral Geometry
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.
| Autor: | Palamodov, Victor |
|---|---|
| ISBN: | 9783034896290 |
| Sprache: | Englisch |
| Produktart: | Kartoniert / Broschiert |
| Verlag: | Springer Nature EN |
| Veröffentlicht: | 14.10.2012 |
| Schlagworte: | C Fourier Analysis Functional analysis & transforms Funktionalanalysis und Abwandlungen Harmonic analysis Integral Transforms, Operational Calculus Integral Transforms and Operational Calculus Integral transforms Manifold Mathematics and Statistics Operational calculus integral transform |