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.
Table of Contents
John's Equation and the Plane to Line Transform on R3
Fulton B. Gonzalez
Radon Transforms on Compact Grassmann Manifolds and Invariant Differential Operators of Determinantal Type
Invariant Berezin Transforms
Integral Geometry on Hyperbolic Spaces
On Laguerre Polynomials of Two Variables
Hacen Dib and Mohammed Mesk
A Topological Obstruction for the Real Radon Transform
Andrea D'Agnolo and Corrado Marastoni
Integral Geometry in the Sphere Sd
The Distribution-Valued Horocyclic Radon Transform on Trees
Enrico Casadio Tarabusi, Joel M. Cohen, and Flavia Colonna
The Geodesic Radon Transform on Trees
Massimo A. Picardello
Integral Geometry on Affine Buildings
Poisson Transform on H3
Samira Ibenmouloud and Mohamed Sbai
Realization of a Holomorphic Discete-Series of the Lie Group SU(1,2) as Star-Representation
Meryem El Beggar
q-Analogue of Watanabe Unitary Transform Associated to the q-Continuous Gegenbauer Polynomials