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Author AMS Special Session on Radon Transforms and Geometric Analysis (2012 : Boston, Mass.)

Title Geometric analysis and integral geometry : AMS special session in honor of Sigurdur Helgason's 85th birthday, radon transforms and geometric analysis, January 4-7, 2012, Boston, MA ; Tufts University Workshop Geometric Analysis on Euclidean and Homogeneous Spaces, January 8-9, 2012, Medford, MA / Eric Todd Quinto, Fulton Gonzalez, Jens Gerlach Christensen, editors
Published Providence, Rhode Island : American Mathematical Society, [2013]
©2013

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Description 1 online resource (xiv, 280 pages) : illustrations (some color)
Series Contemporary mathematics ; 598
Contemporary mathematics (American Mathematical Society) ; v. 598.
Contents Some personal remarks on the Radon transform / Sigurdur Helgason -- On the Life and Work of S. Helgason / G. Ólafsson and R.J. Stanton -- Microlocal analysis of an ultrasound transform with circular source and receiver trajectories / G. Ambartsoumian, J. Boman, V.P. Krishnan and E.T. Quinto -- Cuspidal discrete series for projective hyperbolic spaces / Nils Byrial Andersen and Mogens Flensted-Jensen -- The Radon transform on $SO(3)$: motivations, generalizations, discretization / Swanhild Bernstein and Isaac Z. Pesenson -- Atomic decompositions of Besov spaces related to symmetric cones / Jens Gerlach Christensen -- A double fibration transform for complex projective space / Michael Eastwood -- Magnetic Schrödinger equation on compact symmetric spaces and the geodesic Radon transform of one forms / Tomoyuki Kakehi -- $F$-method for constructing equivariant differential operators / Toshiyuki Kobayashi -- Schiffer's conjecture, interior transmission eigenvalues and invisibility cloaking: Singular problem vs. nonsingular problem / Hongyu Liu -- Approximate Reconstruction from Circular and Spherical Mean Radon Transform Data / W.R. Madych -- Analytic and group-theoretic aspects of the Cosine transform / G. Ólafsson, A. Pasquale and B. Rubin -- Quantization of linear algebra and its application to integral geometry / Hiroshi Oda and Toshio Oshima -- Mean value theorems on symmetric spaces / François Rouvière -- Semyanistyi fractional integrals and Radon transforms / B. Rubin -- Radon-Penrose transform between symmetric spaces / Hideko Sekiguchi -- Principal series representations of infinite dimensional Lie groups, II: Construction of induced representations / Joseph A. Wolf
Bibliography Includes bibliographical references
Notes Print version record
Subject Radon transforms -- Congresses
Integral geometry -- Congresses
Geometric analysis -- Congresses
Geometric analysis
Integral geometry
Radon transforms
Topological groups, Lie groups -- Lie groups -- Analysis on real and complex Lie groups.
Abstract harmonic analysis -- Abstract harmonic analysis -- Analysis on homogeneous spaces.
Integral transforms, operational calculus -- Integral transforms, operational calculus -- Radon transform.
Integral equations -- Inverse problems -- Inverse problems.
Biology and other natural sciences -- Physiological, cellular and medical topics -- Biomedical imaging and signal processing.
Topological groups, Lie groups -- Lie groups -- Semisimple Lie groups and their representations.
Several complex variables and analytic spaces -- Holomorphic fiber spaces -- Twistor theory, double fibrations.
Partial differential equations -- Pseudodifferential operators and other generalizations of partial differential operators -- Fourier integral operators.
Numerical analysis -- Integral equations, integral transforms -- Inverse problems.
Genre/Form Conference papers and proceedings
Form Electronic book
Author Quinto, Eric Todd, 1951- editor.
Gonzalez, Fulton, 1956- editor.
Christensen, Jens Gerlach, 1975- editor.
Tufts University. Workshop on Geometric Analysis on Euclidean and Homogeneous Spaces (2012 : Medford, Mass.)
ISBN 9781470410261
1470410265