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• catalog alternative "Izbrannye zadachi integralʹnoĭ geometrii. English".
• catalog contributor b12945684.
• catalog contributor b12945685.
• catalog contributor b12945686.
• catalog created "c2003.".
• catalog date "2003".
• catalog date "c2003.".
• catalog dateCopyrighted "c2003.".
• catalog description "1. Integral transform related to the hyperplane sections of a hyperboloid of two sheets in R[superscript n+1] -- 2. Integral transform related to spheres in Euclidean space E[superscript n].".
• catalog description "Ch. 1. Radon Transform -- 1. Radon transform on the plane -- 2. Radon transform in three-dimensional space -- 3. Wave equation and the Huygens principle -- 4. Cavalieri's conditions and Paley-Wiener theorems for the Radon transform -- 5. Poisson formula for the Radon transform, and the discrete Radon transform -- 6. Minkowski-Funk transform -- 7. Radon transform of differential forms -- 8. Radon transform for the projective plane and projective space -- 9. Radon transform on the complex affine space -- Ch. 2. John Transform -- 1. John transform in the real affine space -- 2. John transform of differential forms on R[superscript 3] -- 3. John transform in the three-dimensional real projective space -- 4. John transform in the complex affine space -- 5. Problems of integral geometry for line complexes in C[superscript 3] -- Ch. 3. Integral Geometry and Harmonic Analysis on the Hyberbolic Plane and in the Hyperbolic Space -- 1. Elements of hyperbolic planimetry -- 2. Horocycle transform -- 3. Analog of the Fourier transform on the hyperbolic plane and the relation between this analog and the horocycle transform -- 4. Relation to the representation theory of the group SL(2,R) -- 5. Integral transform related to lines (geodesics) on the hyperbolic plane L[superscript 2] -- 6. Horospherical transform in the three-dimensional hyperbolic space L[superscript 3] -- 7. Analog of the Fourier transform in the hyperbolic space, and its relation to the horospherical transform -- 8. Relation to the representation theory for the group SL(2,C) -- 9. Wave equation for the hyperbolic plane and hyperbolic space, and the Huygens principle -- Ch. 4. Integral Geometry and Harmonic Analysis on the Group G = SL(2,C) -- 1. Geometry on the group G -- 2. Integral geometry on the group G = SL(2,C) -- 3. Harmonic analysis on the group G = SL(2,C) -- 4. Another version of the Fourier transform on G = SL(2,C) -- Ch. 5. Integral Geometry on Quadrics.".
• catalog description "Includes bibliographical references and index.".
• catalog extent "xvi, 170 p. ;".
• catalog identifier "0821829327 (acid-free paper)".
• catalog isPartOf "Translations of mathematical monographs, 0065-9282 ; v. 220".
• catalog issued "2003".
• catalog issued "c2003.".
• catalog language "eng rus".
• catalog language "eng".
• catalog publisher "Providence, R.I. : American Mathematical Society,".
• catalog subject "516.3/62 21".
• catalog subject "Integral geometry.".
• catalog subject "QA672 .G4513 2003".
• catalog tableOfContents "1. Integral transform related to the hyperplane sections of a hyperboloid of two sheets in R[superscript n+1] -- 2. Integral transform related to spheres in Euclidean space E[superscript n].".
• catalog tableOfContents "Ch. 1. Radon Transform -- 1. Radon transform on the plane -- 2. Radon transform in three-dimensional space -- 3. Wave equation and the Huygens principle -- 4. Cavalieri's conditions and Paley-Wiener theorems for the Radon transform -- 5. Poisson formula for the Radon transform, and the discrete Radon transform -- 6. Minkowski-Funk transform -- 7. Radon transform of differential forms -- 8. Radon transform for the projective plane and projective space -- 9. Radon transform on the complex affine space -- Ch. 2. John Transform -- 1. John transform in the real affine space -- 2. John transform of differential forms on R[superscript 3] -- 3. John transform in the three-dimensional real projective space -- 4. John transform in the complex affine space -- 5. Problems of integral geometry for line complexes in C[superscript 3] -- Ch. 3. Integral Geometry and Harmonic Analysis on the Hyberbolic Plane and in the Hyperbolic Space -- 1. Elements of hyperbolic planimetry -- 2. Horocycle transform -- 3. Analog of the Fourier transform on the hyperbolic plane and the relation between this analog and the horocycle transform -- 4. Relation to the representation theory of the group SL(2,R) -- 5. Integral transform related to lines (geodesics) on the hyperbolic plane L[superscript 2] -- 6. Horospherical transform in the three-dimensional hyperbolic space L[superscript 3] -- 7. Analog of the Fourier transform in the hyperbolic space, and its relation to the horospherical transform -- 8. Relation to the representation theory for the group SL(2,C) -- 9. Wave equation for the hyperbolic plane and hyperbolic space, and the Huygens principle -- Ch. 4. Integral Geometry and Harmonic Analysis on the Group G = SL(2,C) -- 1. Geometry on the group G -- 2. Integral geometry on the group G = SL(2,C) -- 3. Harmonic analysis on the group G = SL(2,C) -- 4. Another version of the Fourier transform on G = SL(2,C) -- Ch. 5. Integral Geometry on Quadrics.".
• catalog title "Izbrannye zadachi integralʹnoĭ geometrii. English".
• catalog title "Selected topics in integral geometry / I.M. Gelfand, S.G. Gindikin, M.I. Graev, ; [translated from the Russian by A. Shtern].".
• catalog type "text".