Harmonic Analysis and Integral Geometry

Harmonic Analysis and Integral Geometry

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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.show more

Product details

  • Paperback | 184 pages
  • 156 x 235.2 x 10.2mm | 298.59g
  • Taylor & Francis Inc
  • Chapman & Hall/CRC
  • Boca Raton, FL, United States
  • English
  • 10 black & white illustrations
  • 1584881836
  • 9781584881834

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 Tomoyuki Kakehi Invariant Berezin Transforms Takaaki Niomura Integral Geometry on Hyperbolic Spaces Simon Gindikin 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 Ahmed Abouelaz 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 Laura Atanasi 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 Aberrahman Essadiqshow more