eBook ISBN:  9780821877012 
Product Code:  CONM/113.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9780821877012 
Product Code:  CONM/113.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 

Book DetailsContemporary MathematicsVolume: 113; 1991; 251 ppMSC: Primary 00; Secondary 43; 44; 53;
This book contains the proceedings of an AMSIMSSIAM Joint Summer Research Conference on Integral Geometry and Tomography, held in June 1989 at Humboldt State University in Arcata, California. The papers collected here represent current research in these two interrelated fields. The articles in pure mathematics range over such diverse areas as combinatorics, geometric inequalities, microlocal analysis, group theory, and harmonic analysis. The interplay between Lie group theory, geometry, harmonic analysis, and Radon transforms is well covered. The papers on tomography reflect current research on Xray computed tomography, as well as radiation dose planning, radar, and partial differential equations.
In addition to describing current research, this book provides a useful perspective on the interplay between the fields. For example, abstract theorems about Radon transforms are used to understand applied mathematics, while applied mathematics motivates some of the results in pure mathematics. Though directed at specialists in the field, the book would also be of interest to others who wish to understand current research in these areas and to witness how they relate to other branches of mathematics.

Table of Contents

Articles

Ethan D. Bolker, Eric Grinberg and Joseph P. S. Kung — Admissible complexes for the combinatorial Radon transform. A progress report [ MR 1108639 ]

Jan Boman — On generalized Radon transforms with unknown measures [ MR 1108640 ]

William O. Bray and Donald C. Solmon — PaleyWiener theorems on rank one symmetric spaces of noncompact type [ MR 1108641 ]

Enrico Casadio Tarabusi — Inversion of the Xray transform: continuous vs. discrete [ MR 1108642 ]

A. M. Cormack and E. T. Quinto — The mathematics and physics of radiation dose planning using Xrays [ MR 1108643 ]

Leon Ehrenpreis — The Radon transform and tensor products [ MR 1108644 ]

Adel Faridani — An application of a multidimensional sampling theorem to computed tomography [ MR 1108645 ]

Hubert Goldschmidt — The Radon transform for symmetric forms on real projective spaces [ MR 1108646 ]

Fulton B. Gonzalez — Biinvariant differential operators on the complex motion group and the range of the $d$plane transform on ${\bf C}^n$ [ MR 1108647 ]

Paul R. Goodey and Ralph Howard — Processes of flats induced by higherdimensional processes. II [ MR 1108648 ]

Allan Greenleaf and Gunther Uhlmann — Microlocal techniques in integral geometry [ MR 1108649 ]

F. Alberto Grünbaum — Backscatering comes to the rescue

Sigurdur Helgason — The totallygeodesic Radon transform on constant curvature spaces [ MR 1108651 ]

Steven H. Izen — An application for a limited solid angle Xray transform [ MR 1108652 ]

Erwin Lutwak — On a conjectured projection inequality of Petty [ MR 1108653 ]

Peter Maass — A generalized Radon transform in wideband radar [ MR 1108654 ]

W. R. Madych — Summability and approximate reconstruction from Radon transform data [ MR 1108655 ]

Frank Natterer — An inverse problem for a transport equation and integral geometry [ MR 1108656 ]

Jeremy Orloff — Invariant Radon transforms on a symmetric space [ MR 1108657 ]

Donald C. Solmon — Nonuniqueness and the null space of the divergent beam Xray transform [ MR 1108658 ]


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This book contains the proceedings of an AMSIMSSIAM Joint Summer Research Conference on Integral Geometry and Tomography, held in June 1989 at Humboldt State University in Arcata, California. The papers collected here represent current research in these two interrelated fields. The articles in pure mathematics range over such diverse areas as combinatorics, geometric inequalities, microlocal analysis, group theory, and harmonic analysis. The interplay between Lie group theory, geometry, harmonic analysis, and Radon transforms is well covered. The papers on tomography reflect current research on Xray computed tomography, as well as radiation dose planning, radar, and partial differential equations.
In addition to describing current research, this book provides a useful perspective on the interplay between the fields. For example, abstract theorems about Radon transforms are used to understand applied mathematics, while applied mathematics motivates some of the results in pure mathematics. Though directed at specialists in the field, the book would also be of interest to others who wish to understand current research in these areas and to witness how they relate to other branches of mathematics.

Articles

Ethan D. Bolker, Eric Grinberg and Joseph P. S. Kung — Admissible complexes for the combinatorial Radon transform. A progress report [ MR 1108639 ]

Jan Boman — On generalized Radon transforms with unknown measures [ MR 1108640 ]

William O. Bray and Donald C. Solmon — PaleyWiener theorems on rank one symmetric spaces of noncompact type [ MR 1108641 ]

Enrico Casadio Tarabusi — Inversion of the Xray transform: continuous vs. discrete [ MR 1108642 ]

A. M. Cormack and E. T. Quinto — The mathematics and physics of radiation dose planning using Xrays [ MR 1108643 ]

Leon Ehrenpreis — The Radon transform and tensor products [ MR 1108644 ]

Adel Faridani — An application of a multidimensional sampling theorem to computed tomography [ MR 1108645 ]

Hubert Goldschmidt — The Radon transform for symmetric forms on real projective spaces [ MR 1108646 ]

Fulton B. Gonzalez — Biinvariant differential operators on the complex motion group and the range of the $d$plane transform on ${\bf C}^n$ [ MR 1108647 ]

Paul R. Goodey and Ralph Howard — Processes of flats induced by higherdimensional processes. II [ MR 1108648 ]

Allan Greenleaf and Gunther Uhlmann — Microlocal techniques in integral geometry [ MR 1108649 ]

F. Alberto Grünbaum — Backscatering comes to the rescue

Sigurdur Helgason — The totallygeodesic Radon transform on constant curvature spaces [ MR 1108651 ]

Steven H. Izen — An application for a limited solid angle Xray transform [ MR 1108652 ]

Erwin Lutwak — On a conjectured projection inequality of Petty [ MR 1108653 ]

Peter Maass — A generalized Radon transform in wideband radar [ MR 1108654 ]

W. R. Madych — Summability and approximate reconstruction from Radon transform data [ MR 1108655 ]

Frank Natterer — An inverse problem for a transport equation and integral geometry [ MR 1108656 ]

Jeremy Orloff — Invariant Radon transforms on a symmetric space [ MR 1108657 ]

Donald C. Solmon — Nonuniqueness and the null space of the divergent beam Xray transform [ MR 1108658 ]