Selected Topics in Integral Geometry (220)

by S.G. Gindikin

The authors explain the main ideas of integral geometry through the context of simple examples, believing them to be more useful than general results. Examples include the classical Radon transform, one of its generalizations, hyperbolic versions, and a horospherical transform. The English translation adds a chapter devoted to integral geometry on quadrics (or a conformally invariant version of the Radon transform). Translated from the Russian work Izbrannye zadachi integral'noi geometrii (2000). Annotation (c) Book News, Inc., Portland, OR (booknews.com)

170 pages, Hardcover

First published November 1, 2003

About the author

Simon Grigorevich Gindikin (Семён Григорьевич Гиндикин), born 7 December 1937 in Moscow, Russian SFSR, is a mathematician at Rutgers University who introduced the Gindikin–Karpelevich formula for the Harish-Chandra c-function.