Harmonic Analysis and Integral Geometry

ISBN-13: 9781138441743 / Angielski / Twarda / 2019 / 180 str.

Opis

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.

Spis treści

Preface, John’s Equation and the Plane to Line Transform on ℝ3, Radon Transforms on Compact Grassmann Manifolds and Invariant Differential Operators of Determinantal Type, Invariant Berezin Transforms, Integral Geometry on Hyperbolic Spaces, The Geodesic Radon Transform on Trees, The Distribution–Valued Horocyclic Radon Transform on Trees, Integral Geometry on Affine Buildings, Integral Geometry in the Sphere Sd, A Topological Obstruction for the Real Radon Transform, On Laguerre Polynomials of two Variables, Poisson Transform on ℍ3, Transfert Formula in the Real Hyperbolic Space Bn, q-Analogue of Watanabe Unitary Transform Associated to the q-Continuous Gegenbauer Polynomials, Realization of a Holomorphic Discrete Series of the Lie Group SU (1,2) as Star-Representation

O autorze

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