Harmonic Analysis and Integral Geometry

Comprising a selection of expository and research papers, Harmonic Analysis and Integral Geometry grew from presentations offered at the July 1998 Summer University of Safi, Morocco-an annual, advanced research school and congress. This lively and very successful event drew the attendance of many top researchers, who offered both individual lectures and coordinated courses on specific research topics within this fast growing subject. Harmonic Analysis and Integral Geometry presents important recent advances in the fields of Radon transforms, integral geometry, and harmonic analysis on Lie groups and symmetric spaces. Several articles are devoted to the new theory of Radon transforms on trees. With its related presentations addressing recent developments in various aspects of these intriguing areas of study, Harmonic Analysis and Integral Geometry becomes an important addition not only to the Research Notes in Mathematics series, but to the general mathematics literature.

John's Equation and the Plane to Line Transform on R3Fulton B. GonzalezRadon Transforms on Compact Grassmann Manifolds and Invariant Differential Operators of Determinantal TypeTomoyuki KakehiInvariant Berezin TransformsTakaaki NiomuraIntegral Geometry on Hyperbolic SpacesSimon GindikinOn Laguerre Polynomials of Two VariablesHacen Dib and Mohammed MeskA Topological Obstruction for the Real Radon TransformAndrea D'Agnolo and Corrado MarastoniIntegral Geometry in the Sphere SdAhmed AbouelazThe Distribution-Valued Horocyclic Radon Transform on TreesEnrico Casadio Tarabusi, Joel M. Cohen, and Flavia ColonnaThe Geodesic Radon Transform on TreesMassimo A. PicardelloIntegral Geometry on Affine BuildingsLaura AtanasiPoisson Transform on H3Samira Ibenmouloud and Mohamed SbaiRealization of a Holomorphic Discete-Series of the Lie Group SU(1,2) as Star-RepresentationMeryem El Beggarq-Analogue of Watanabe Unitary Transform Associated to the q-Continuous Gegenbauer PolynomialsAberrahman Essadiq

Massimo A. Picardello Dipartimento di Matematica, Università di Roma “Tor Vergata”, Via della Ricerca Scientific a, 00133 Roma, Italy