Contemporary Mathematics 2013; 280 pp; softcover Volume: 598 ISBN10: 0821887386 ISBN13: 9780821887387 List Price: US$100 Member Price: US$80 Order Code: CONM/598
 This volume contains the proceedings of the AMS Special Session on Radon Transforms and Geometric Analysis, in honor of Sigurdur Helgason's 85th Birthday, held from January 47, 2012, in Boston, MA, and the Tufts University Workshop on Geometric Analysis on Euclidean and Homogeneous Spaces, held from January 89, 2012, in Medford, MA. This volume provides an historical overview of several decades in integral geometry and geometric analysis as well as recent advances in these fields and closely related areas. It contains several articles focusing on the mathematical work of Sigurdur Helgason, including an overview of his research by Gestur Ólafsson and Robert Stanton. The first article in the volume contains Helgason's own reminiscences about the development of the grouptheoretical aspects of the Radon transform and its relation to geometric analysis. Other contributions cover Radon transforms, harmonic analysis, Penrose transforms, representation theory, wavelets, partial differential operators on groups, and inverse problems in tomography and cloaking that are related to integral geometry. Many articles contain both an overview of their respective fields as well as new research results. The volume will therefore appeal to experienced researchers as well as a younger generation of mathematicians. With a good blend of pure and applied topics the volume will be a valuable source for interdisciplinary research. Readership Graduate students and researchers interested in integral geometry, representation theory, harmonic and geometric analysis. Table of Contents Historical articles  S. Helgason  Some personal remarks on the Radon transform
 G. Ólafsson and R. J. Stanton  On the life and work of S. Helgason
Research and expository articles  G. Ambartsoumian, J. Boman, V. P. Krishnan, and E. T. Quinto  Microlocal analysis of an ultrasound transform with circular source and receiver trajectories
 N. B. Andersen and M. FlenstedJensen  Cuspidal discrete series for projective hyperbolic spaces
 S. Bernstein and I. Z. Pesenson  The Radon transform on \(SO(3)\): Motivations, generalizations, discretization
 J. G. Christensen  Atomic decompositions of Besov spaces related to symmetric cones
 M. Eastwood  A double fibration transform for complex projective space
 T. Kakehi  Magnetic Schrödinger equation on compact symmetric spaces and the geodesic Radon transform of one forms
 T. Kobayashi  \(F\)method for constructing equivariant differential operators
 H. Liu  Schiffer's conjecture, interior transmission eigenvalues and invisibility cloaking: Singular problem vs. nonsingular problem
 W. R. Madych  Approximate reconstruction from circular and spherical mean Radon transform data
 G. Ólafsson, A. Pasquale, and B. Rubin  Analytic and grouptheoretic aspects of the cosine transform
 H. Oda and T. Oshima  Quantization of linear algebra and its application to integral geometry
 F. Rouvière  Mean value theorems on symmetric spaces
 B. Rubin  Semyanistyi fractional integrals and Radon transforms
 H. Sekiguchi  RadonPenrose transform between symmetric spaces
 J. A. Wolf  Principal series representations of infinite dimensional Lie groups, II: construction of induced representations
