Integral geometry : proceedings of the AMS-IMS-SIAM Joint Summer Research Conference held August 12-18, 1984, with support from the National Science Foundation / Robert L. Bryant [and three others], editors.

Format:

Book

Conference/Event

Author/Creator:

AMS-IMS-SIAM Joint Summer Research Conference in the Mathematical Sciences on Integral Geometry, Corporate Author.

Contributor:

Bryant, Robert L., editor.

American Mathematical Society, issuing body.

Institute of Mathematical Statistics, issuing body.

Society for Industrial and Applied Mathematics, issuing body.

Conference Name:

AMS-IMS-SIAM Joint Summer Research Conference in the Mathematical Sciences on Integral Geometry (1984 : Bowdoin College), issuing body.

AMS-IMS-SIAM Joint Summer Research Conference in the Mathematical Sciences on Integral Geometry

Series:

Contemporary mathematics (American Mathematical Society) ; v. 63.

Contemporary mathematics, 0271-4132 ; volume 63

Language:

English

Subjects (All):

Integral geometry--Congresses.

Integral geometry.

Physical Description:

1 online resource (364 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [1987]

Language Note:

English

Summary:

The topic of integral geometry is not as well known as its counterpart, differential geometry. However, research in integral geometry has indicated that this field may yield as equally deep insights as differential geometry has into the global and local nature of manifolds and the functions on them. In 1984, an AMS-IMS-SIAM joint summer research conference on integral geometry was held at Bowdoin College. This volume consists of papers presented there. The papers range from purely expository to quite technical and represent a good survey of contemporary work in integral geometry. Three major areas are covered: the classical problems of computing geometric invariants by statistical averaging procedures; the circle of ideas concerning the Radon transform, going back to the seminal work of Funck and Radon around 1916-1917; and integral-geometric transforms which are now being used in the study of field equations in mathematical physics. Some of these areas also involve group-representation theoretic problems.

Contents:

""Table of Contents""; ""Preface""; ""Spectral synthesis on symmetric spaces""; ""The finite Radon transform""; ""Hyperfunctions in representation theory and mathematical Physics""; ""The exponential Radon transform""; ""Integral geometry as geometry and as analysis""; ""Euclidean Radon transforms: ranges and restrictions""; ""Perspectives in integral geometry""; ""Some results on Radon transforms, Huygen's principle and x-ray transforms""; ""Classical integral geometry in Riemannian homogeneous spaces""; ""Differential operators and Cartan motion groups""

""An L2-cohomology analogue of the Penrose transform for the oscillator representation""""Injectivity of rotation invariant Radon transforms on complex hyperplanes in Cn""; ""On overdetermined systems associated with integral geometry transforms in the real projective space""; ""The Pompeiu problem in exterior domains in symmetric spaces""; ""Curvature integrals and Chern classes of singular varieties""; ""Hypothesis testing in integral geometry: guessing the shape of a plane domain""; ""Non-linear integral transforms""; ""Integral geometry and twistor theory""

""Some inverse problems of potential theory""

Notes:

Description based upon print version of record.

Includes bibliographies.

Description based on print version record.

ISBN:

0-8218-7653-8