Harmonic Analysis and Integral Geometry: 1st Edition (Paperback) book cover

Harmonic Analysis and Integral Geometry

1st Edition

Edited by Massimo Picardello

Chapman and Hall/CRC

184 pages | 10 B/W Illus.

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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.

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 Essadiq

About the Authors/Editors

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

About the Series

Chapman & Hall/CRC Research Notes in Mathematics Series

Learn more…

Subject Categories

BISAC Subject Codes/Headings:
MATHEMATICS / Algebra / General
MATHEMATICS / Geometry / General
MATHEMATICS / Functional Analysis