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Geometric analysis and integral geometry : [electronic resource] 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 on Geometric Analysis on Euclidean and Homogeneous Spaces, January 8-9, 2012, Medford, MA / Eric Todd Quinto, Fulton Gonzalez, Jens Gerlach Christensen, editors.

By: AMS Special Session on Radon Transforms and Geometric Analysis (2012 : Boston, Mass.)Contributor(s): Quinto, Eric Todd, 1951- [editor of compilation.] | Gonzalez, Fulton, 1956- [editor of compilation.] | Christensen, Jens Gerlach, 1975- [editor of compilation.] | Tufts University. Workshop on Geometric Analysis on Euclidean and Homogeneous Spaces (2012 : Medford, Mass.)Material type: Text

TextSeries: Contemporary mathematics ; v. 598Publisher: Providence, Rhode Island : American Mathematical Society, [2013]Description: 1 online resource (xiv, 280 pages)Content type: text Media type: unmediated Carrier type: volumeISBN: 9781470410261 (online)Subject(s): Radon transforms -- Congresses | Integral geometry -- Congresses | Geometric analysis -- Congresses | 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 problemsAdditional physical formats: Geometric analysis and integral geometry :DDC classification: 515/.1 LOC classification: QA672 | .A4726 2013Other classification: 22E30 | 43A85 | 44A12 | 45Q05 | 92C55 | 22E46 | 32L25 | 35S30 | 65R32 Online resources: Contents | Contents

Contents:

Some personal remarks on the Radon transform / Sigurdur Helgason -- http://www.ams.org/conm/598/ http://dx.doi.org/10.1090/conm/598/12000 On the Life and Work of S. Helgason / G. �Olafsson and R. J. Stanton -- http://www.ams.org/conm/598/ http://dx.doi.org/10.1090/conm/598/11985 Microlocal analysis of an ultrasound transform with circular source and receiver trajectories / G. Ambartsoumian, J. Boman, V. P. Krishnan and E. T. Quinto -- http://www.ams.org/conm/598/ http://dx.doi.org/10.1090/conm/598/11983 Cuspidal discrete series for projective hyperbolic spaces / Nils Byrial Andersen and Mogens Flensted-Jensen -- http://www.ams.org/conm/598/ http://dx.doi.org/10.1090/conm/598/11986 The Radon transform on $SO(3)$: motivations, generalizations, discretization / Swanhild Bernstein and Isaac Z. Pesenson -- http://www.ams.org/conm/598/ http://dx.doi.org/10.1090/conm/598/11984 Atomic decompositions of Besov spaces related to symmetric cones / Jens Gerlach Christensen -- http://www.ams.org/conm/598/ http://dx.doi.org/10.1090/conm/598/11965 A double fibration transform for complex projective space / Michael Eastwood -- http://www.ams.org/conm/598/ http://dx.doi.org/10.1090/conm/598/11999 Magnetic Schr�odinger equation on compact symmetric spaces and the geodesic Radon transform of one forms / Tomoyuki Kakehi -- http://www.ams.org/conm/598/ http://dx.doi.org/10.1090/conm/598/11966 $F$-method for constructing equivariant differential operators / Toshiyuki Kobayashi -- http://www.ams.org/conm/598/ http://dx.doi.org/10.1090/conm/598/11998 Schiffer's conjecture, interior transmission eigenvalues and invisibility cloaking: Singular problem vs. nonsingular problem / Hongyu Liu -- http://www.ams.org/conm/598/ http://dx.doi.org/10.1090/conm/598/11967 Approximate Reconstruction from Circular and Spherical Mean Radon Transform Data / W. R. Madych -- http://www.ams.org/conm/598/ http://dx.doi.org/10.1090/conm/598/11987 Analytic and group-theoretic aspects of the Cosine transform / G. �Olafsson, A. Pasquale and B. Rubin -- http://www.ams.org/conm/598/ http://dx.doi.org/10.1090/conm/598/12009 Quantization of linear algebra and its application to integral geometry / Hiroshi Oda and Toshio Oshima -- http://www.ams.org/conm/598/ http://dx.doi.org/10.1090/conm/598/12001 Mean value theorems on symmetric spaces / Fran�cois Rouvi�ere -- http://www.ams.org/conm/598/ http://dx.doi.org/10.1090/conm/598/11982 Semyanistyi fractional integrals and Radon transforms / B. Rubin -- http://www.ams.org/conm/598/ http://dx.doi.org/10.1090/conm/598/11968 Radon-Penrose transform between symmetric spaces / Hideko Sekiguchi -- http://www.ams.org/conm/598/ http://dx.doi.org/10.1090/conm/598/12002 Principal series representations of infinite dimensional Lie groups, II: Construction of induced representations / Joseph A. Wolf -- http://www.ams.org/conm/598/ http://dx.doi.org/10.1090/conm/598/11964

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Includes bibliographical references.

Some personal remarks on the Radon transform / Sigurdur Helgason -- On the Life and Work of S. Helgason / G. �Olafsson 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 Schr�odinger 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. �Olafsson, 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 / Fran�cois Rouvi�ere -- 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 --