The Radon Transform by Sigurdur Helgason
English | PDF | 1980 | 203 Pages | ISBN : N/A | 9.3 MB
The tit1e of this booklet refers to a topie in geometrie analysis which has its origins in results of Funk [1916] and Radon [1917] determining, respeetive1y, a synmatrie funetion on the two- sphere 52 fran its great cire1e integrals and a funetion on the plane R 2 fran its 1ine integrals (See Referenees) . Reeent deve1op- ments, in particu1ar applieations to partial differential equations, X-ray techno1ogy, and radioastronany, have widened interest in the subjeet.
These notes eonsist of a revision of 1eetures given at MIT in the Fall of 1966, based roostly on my papers during 1959 - 1965 on the Radon transfonn and some of its generalizations. (The tenn "Radon transfonn" is adopted fran John [1955]). The viewpoint for these gene- ra1izations is as [ollows.
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