# Meeting Details

Title: Integral Geometry, hypergroups and a question of I.M. Gelfand Geometry Luncheon Seminar Grigori Litvinov, French-Russian Laboratory "Poncelet" and Independent University of Moscow It is well known that the Radon Transform is closely related to the classical Fourier transform and harmonic analysis on the additive groups of finite-dimensional real linear spaces. In this talk we discuss similar" interrelations between standard problems of Integral Geometry (in the sense of Gelfand and Graev) and harmonic analysis on certain commutative hypergroups (in the sense of J. Delsarte). These interrelations may be interpreted as an answer to an old question of I.M. Gelfand concerning algebraic foundations of Integral Geometry.