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 on Geometric Analysis on Euclidean and Homogeneous Spaces, January 8-9, 2012, Medford, MA / [electronic resource]
Eric Todd Quinto, Fulton Gonzalez, Jens Gerlach Christensen, editors.
- Providence, Rhode Island : American Mathematical Society, [2013]
- 1 online resource (xiv, 280 pages)
- Contemporary mathematics, v. 598 0271-4132 (print); 1098-3627 (online); .
Includes bibliographical references.
Some personal remarks on the Radon transform / On the Life and Work of S. Helgason / Microlocal analysis of an ultrasound transform with circular source and receiver trajectories / Cuspidal discrete series for projective hyperbolic spaces / The Radon transform on $SO(3)$: motivations, generalizations, discretization / Atomic decompositions of Besov spaces related to symmetric cones / A double fibration transform for complex projective space / Magnetic Schr�odinger equation on compact symmetric spaces and the geodesic Radon transform of one forms / $F$-method for constructing equivariant differential operators / Schiffer's conjecture, interior transmission eigenvalues and invisibility cloaking: Singular problem vs. nonsingular problem / Approximate Reconstruction from Circular and Spherical Mean Radon Transform Data / Analytic and group-theoretic aspects of the Cosine transform / Quantization of linear algebra and its application to integral geometry / Mean value theorems on symmetric spaces / Semyanistyi fractional integrals and Radon transforms / Radon-Penrose transform between symmetric spaces / Principal series representations of infinite dimensional Lie groups, II: Construction of induced representations / Sigurdur Helgason -- G. �Olafsson and R. J. Stanton -- G. Ambartsoumian, J. Boman, V. P. Krishnan and E. T. Quinto -- Nils Byrial Andersen and Mogens Flensted-Jensen -- Swanhild Bernstein and Isaac Z. Pesenson -- Jens Gerlach Christensen -- Michael Eastwood -- Tomoyuki Kakehi -- Toshiyuki Kobayashi -- Hongyu Liu -- W. R. Madych -- G. �Olafsson, A. Pasquale and B. Rubin -- Hiroshi Oda and Toshio Oshima -- Fran�cois Rouvi�ere -- B. Rubin -- Hideko Sekiguchi -- Joseph A. Wolf -- http://www.ams.org/conm/598/ http://dx.doi.org/10.1090/conm/598/12000 http://www.ams.org/conm/598/ http://dx.doi.org/10.1090/conm/598/11985 http://www.ams.org/conm/598/ http://dx.doi.org/10.1090/conm/598/11983 http://www.ams.org/conm/598/ http://dx.doi.org/10.1090/conm/598/11986 http://www.ams.org/conm/598/ http://dx.doi.org/10.1090/conm/598/11984 http://www.ams.org/conm/598/ http://dx.doi.org/10.1090/conm/598/11965 http://www.ams.org/conm/598/ http://dx.doi.org/10.1090/conm/598/11999 http://www.ams.org/conm/598/ http://dx.doi.org/10.1090/conm/598/11966 http://www.ams.org/conm/598/ http://dx.doi.org/10.1090/conm/598/11998 http://www.ams.org/conm/598/ http://dx.doi.org/10.1090/conm/598/11967 http://www.ams.org/conm/598/ http://dx.doi.org/10.1090/conm/598/11987 http://www.ams.org/conm/598/ http://dx.doi.org/10.1090/conm/598/12009 http://www.ams.org/conm/598/ http://dx.doi.org/10.1090/conm/598/12001 http://www.ams.org/conm/598/ http://dx.doi.org/10.1090/conm/598/11982 http://www.ams.org/conm/598/ http://dx.doi.org/10.1090/conm/598/11968 http://www.ams.org/conm/598/ http://dx.doi.org/10.1090/conm/598/12002 http://www.ams.org/conm/598/ http://dx.doi.org/10.1090/conm/598/11964
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2013
Mode of access : World Wide Web
9781470410261 (online)
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 problems.
QA672 / .A4726 2013
515/.1
Includes bibliographical references.
Some personal remarks on the Radon transform / On the Life and Work of S. Helgason / Microlocal analysis of an ultrasound transform with circular source and receiver trajectories / Cuspidal discrete series for projective hyperbolic spaces / The Radon transform on $SO(3)$: motivations, generalizations, discretization / Atomic decompositions of Besov spaces related to symmetric cones / A double fibration transform for complex projective space / Magnetic Schr�odinger equation on compact symmetric spaces and the geodesic Radon transform of one forms / $F$-method for constructing equivariant differential operators / Schiffer's conjecture, interior transmission eigenvalues and invisibility cloaking: Singular problem vs. nonsingular problem / Approximate Reconstruction from Circular and Spherical Mean Radon Transform Data / Analytic and group-theoretic aspects of the Cosine transform / Quantization of linear algebra and its application to integral geometry / Mean value theorems on symmetric spaces / Semyanistyi fractional integrals and Radon transforms / Radon-Penrose transform between symmetric spaces / Principal series representations of infinite dimensional Lie groups, II: Construction of induced representations / Sigurdur Helgason -- G. �Olafsson and R. J. Stanton -- G. Ambartsoumian, J. Boman, V. P. Krishnan and E. T. Quinto -- Nils Byrial Andersen and Mogens Flensted-Jensen -- Swanhild Bernstein and Isaac Z. Pesenson -- Jens Gerlach Christensen -- Michael Eastwood -- Tomoyuki Kakehi -- Toshiyuki Kobayashi -- Hongyu Liu -- W. R. Madych -- G. �Olafsson, A. Pasquale and B. Rubin -- Hiroshi Oda and Toshio Oshima -- Fran�cois Rouvi�ere -- B. Rubin -- Hideko Sekiguchi -- Joseph A. Wolf -- http://www.ams.org/conm/598/ http://dx.doi.org/10.1090/conm/598/12000 http://www.ams.org/conm/598/ http://dx.doi.org/10.1090/conm/598/11985 http://www.ams.org/conm/598/ http://dx.doi.org/10.1090/conm/598/11983 http://www.ams.org/conm/598/ http://dx.doi.org/10.1090/conm/598/11986 http://www.ams.org/conm/598/ http://dx.doi.org/10.1090/conm/598/11984 http://www.ams.org/conm/598/ http://dx.doi.org/10.1090/conm/598/11965 http://www.ams.org/conm/598/ http://dx.doi.org/10.1090/conm/598/11999 http://www.ams.org/conm/598/ http://dx.doi.org/10.1090/conm/598/11966 http://www.ams.org/conm/598/ http://dx.doi.org/10.1090/conm/598/11998 http://www.ams.org/conm/598/ http://dx.doi.org/10.1090/conm/598/11967 http://www.ams.org/conm/598/ http://dx.doi.org/10.1090/conm/598/11987 http://www.ams.org/conm/598/ http://dx.doi.org/10.1090/conm/598/12009 http://www.ams.org/conm/598/ http://dx.doi.org/10.1090/conm/598/12001 http://www.ams.org/conm/598/ http://dx.doi.org/10.1090/conm/598/11982 http://www.ams.org/conm/598/ http://dx.doi.org/10.1090/conm/598/11968 http://www.ams.org/conm/598/ http://dx.doi.org/10.1090/conm/598/12002 http://www.ams.org/conm/598/ http://dx.doi.org/10.1090/conm/598/11964
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2013
Mode of access : World Wide Web
9781470410261 (online)
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 problems.
QA672 / .A4726 2013
515/.1