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Analytic tomography / Andrew Markoe
| Analytic tomography / Andrew Markoe |
| Autore | Markoe, Andrew |
| Pubbl/distr/stampa | New York : Cambridge University Press, 2006 |
| Descrizione fisica | viii, 400 p. : ill. ; 24 cm |
| Disciplina | 515.723 |
| Collana | Encyclopedia of mathematics and its applications ; 106 |
| Soggetto topico |
Radon transforms
Geometric tomography |
| ISBN | 0521793475 |
| Classificazione |
AMS 44A12
AMS 92C55 LC QA672.M37 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001632659707536 |
Markoe, Andrew
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| New York : Cambridge University Press, 2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Les distributions / I. M. Guelfand, G. E. Chilov, N. Ya. Vilenkin, M. I. Graev
| Les distributions / I. M. Guelfand, G. E. Chilov, N. Ya. Vilenkin, M. I. Graev |
| Autore | Chilov, G. E. |
| Pubbl/distr/stampa | Paris : Dunod, 1962-1970 |
| Descrizione fisica | 5 t. ; 22 cm. |
| Disciplina | 515.722 |
| Altri autori (Persone) |
Graev, Mark Isifovic
Guelfand, I. M. Gussi, G. Rideau, G. Vasilach, Serge Vilenkin, N. Ya. |
| Collana |
Collection universitaire de mathématiques ; 8
Collection universitaire de mathématiques ; 15 Collection universitaire de mathématiques ; 16 Collection universitaire de mathématiques ; 23 Collection universitaire de mathématiques ; 34 |
| Soggetto topico |
Distribution theory
Generalized functions Partial differential equations Potential theory Radon transforms Representations of groups Stochastic processes Topological linear spaces |
| Classificazione |
AMS 31-01
AMS 31-XX AMS 35A AMS 43A65 AMS 44A12 AMS 46F AMS 46F05 AMS 60G |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | fre |
| Record Nr. | UNISALENTO-991000833389707536 |
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Chilov, G. E.
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| Paris : Dunod, 1962-1970 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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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 / / Eric Todd Quinto, Fulton Gonzalez, Jens Gerlach Christensen, editors
| 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 / / Eric Todd Quinto, Fulton Gonzalez, Jens Gerlach Christensen, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2013 |
| Descrizione fisica | 1 online resource (298 p.) |
| Disciplina | 515/.1 |
| Collana | Contemporary Mathematics |
| Soggetto topico |
Radon transforms
Integral geometry Geometric analysis |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-1026-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""List of Presenters""; ""Historical Articles""; ""Some personal remarks on the Radon transform""; ""1. Introduction.""; ""2. Some old times.""; ""3. General viewpoint. Double fibration transform.""; ""4. Horocycle duality.""; ""5. A Fourier transform on .""; ""6. Joint Eigenspaces.""; ""7. The X-ray transform.""; ""8. Concluding remarks.""; ""Bibliography""; ""On the Life and Work of S. Helgason""; ""Preface""; ""1. Short Biography""; ""2. Mathematical Research""; ""References""; ""Research and Expository Articles""
""7. Problem 1: Inversion of crystallographic -ray transform""""8. Problem 4: Exact reconstruction of a bandlimited function on (3) from a finite number of samples of â?? ""; ""9. Appendix""; ""Acknowledgment""; ""References""; ""Atomic decompositions of Besov spaces related to symmetric cones""; ""1. Introduction""; ""2. Wavelets, sampling and atomic decompositions""; ""3. Besov spaces on symmetric cones""; ""4. A Wavelet Characterization of Besov spaces on symmetric cones""; ""References""; ""A double fibration transform for complex projective space""; ""1. Introduction"" ""1. Introduction"" |
| Record Nr. | UNINA-9910480160003321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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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 / / Eric Todd Quinto, Fulton Gonzalez, Jens Gerlach Christensen, editors
| 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 / / Eric Todd Quinto, Fulton Gonzalez, Jens Gerlach Christensen, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2013 |
| Descrizione fisica | 1 online resource (298 p.) |
| Disciplina | 515/.1 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Radon transforms
Integral geometry Geometric analysis |
| ISBN | 1-4704-1026-5 |
| Classificazione | 22E3043A8544A1245Q0592C5522E4632L2535S3065R32 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents -- Preface -- List of Presenters -- Historical Articles -- Some personal remarks on the Radon transform -- On the Life and Work of S. Helgason -- Research and Expository Articles -- Microlocal analysis of an ultrasound transform with circular source and receiver trajectories -- Cuspidal discrete series for projective hyperbolic spaces -- The Radon transform on (3): motivations, generalizations, discretization -- Atomic decompositions of Besov spaces related to symmetric cones -- A double fibration transform for complex projective space -- Magnetic Schrödinger equation on compact symmetric spaces and the geodesic Radon transform of one forms -- -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. |
| Record Nr. | UNINA-9910788900703321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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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 / / Eric Todd Quinto, Fulton Gonzalez, Jens Gerlach Christensen, editors
| 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 / / Eric Todd Quinto, Fulton Gonzalez, Jens Gerlach Christensen, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2013 |
| Descrizione fisica | 1 online resource (298 p.) |
| Disciplina | 515/.1 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Radon transforms
Integral geometry Geometric analysis |
| ISBN | 1-4704-1026-5 |
| Classificazione | 22E3043A8544A1245Q0592C5522E4632L2535S3065R32 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents -- Preface -- List of Presenters -- Historical Articles -- Some personal remarks on the Radon transform -- On the Life and Work of S. Helgason -- Research and Expository Articles -- Microlocal analysis of an ultrasound transform with circular source and receiver trajectories -- Cuspidal discrete series for projective hyperbolic spaces -- The Radon transform on (3): motivations, generalizations, discretization -- Atomic decompositions of Besov spaces related to symmetric cones -- A double fibration transform for complex projective space -- Magnetic Schrödinger equation on compact symmetric spaces and the geodesic Radon transform of one forms -- -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. |
| Record Nr. | UNINA-9910827786303321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Integral geometry, radon transforms, and complex analysis : lectures given at the 1st session of the Centro internazionale matematico estivo (C.I.M.E.) held in Venezia, Italy, June 3-12, 1996 / C.A. Berenstein ... [et al.] ; editors, E. Casadio Tarabusi, M.A. Picardello, G. Zampieri
| Integral geometry, radon transforms, and complex analysis : lectures given at the 1st session of the Centro internazionale matematico estivo (C.I.M.E.) held in Venezia, Italy, June 3-12, 1996 / C.A. Berenstein ... [et al.] ; editors, E. Casadio Tarabusi, M.A. Picardello, G. Zampieri |
| Autore | Berenstein, Carlos A. |
| Pubbl/distr/stampa | Berlin : Springer-Verlag, c1998 |
| Descrizione fisica | vi, 160 p. : ill. ; 24 cm |
| Disciplina | 515.785 |
| Altri autori (Persone) |
Tarabusi, Enrico Casadio
Picardello, Massimo A. Zampieri, Giuseppe |
| Altri autori (Enti) | Centro internazionale matematico estivo |
| Collana | Lecture notes in mathematics, 0075-8434 ; 1684 |
| Soggetto topico |
Functions of complex variables
Integral geometry Mathematical analysis Radon transforms |
| ISBN | 3540642072 |
| Classificazione |
AMS 32-06
AMS 43-06 AMS 44-06 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001001849707536 |
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Berenstein, Carlos A.
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| Berlin : Springer-Verlag, c1998 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Mathematical methods in tomography : proceedings of a conference held in Oberwolfach, Germany, 5-11 June 1990 / / Gabor T. Herman, Alfred K. Louis, Frank Natterer, editors
| Mathematical methods in tomography : proceedings of a conference held in Oberwolfach, Germany, 5-11 June 1990 / / Gabor T. Herman, Alfred K. Louis, Frank Natterer, editors |
| Edizione | [1st ed. 1991.] |
| Pubbl/distr/stampa | Berlin ; ; Heidelberg : , : Springer-Verlag, , [1991] |
| Descrizione fisica | 1 online resource (X, 270 p.) |
| Disciplina | 616.075701515357 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Geometric tomography
Radon transforms |
| ISBN | 3-540-46615-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Helgason's support theorem for Radon transforms — A new proof and a generalization -- Singular value decompositions for Radon transforms -- Image reconstruction in Hilbert space -- A problem of integral geometry for a family of rays with multiple reflections -- Inversion formulas for the three-dimensional ray transform -- Backscattered photons — Are they useful for a surface-near tomography? -- Mathematical framework of cone beam 3D reconstruction via the first derivative of the radon transform -- Diffraction tomography some applications and extension to 3-D ultrasound imaging -- Diffuse tomography: A refined model -- Three dimensional reconstructions in inverse obstacle scattering -- Mathematical questions of a biomagnetic imaging problem -- On variable block algebraic reconstruction techniques -- On Volterra-Lotka differential equations and multiplicative algorithms for monotone complementarity problems -- Constrained regularized least squares problems -- Multiplicative iterative methods in computed tomography -- Remark on the informative content of few measurements -- Theorems for the number of zeros of the projection radial modulators of the 2D exponential radon transform -- Evaluation of reconstruction algorithms -- Radon transform and analog coding -- Determination of the specific density of an aerosol through tomography -- Computed tomography and rockets. |
| Record Nr. | UNISA-996466756003316 |
| Berlin ; ; Heidelberg : , : Springer-Verlag, , [1991] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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The Radon transform / Sigurdur Helgason
| The Radon transform / Sigurdur Helgason |
| Autore | Helgason, Sigurdur |
| Pubbl/distr/stampa | Boston : Birkhauser, c1980 |
| Descrizione fisica | x, 192 p. ; 23 cm |
| Disciplina | 516.36 |
| Collana |
Progress in mathematics [Birkhauser], 0743-1643; 5
Progress in mathematics ; 5 |
| Soggetto topico | Radon transforms |
| ISBN | 3764330066 |
| Classificazione | AMS 44A12 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001281369707536 |
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Helgason, Sigurdur
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| Boston : Birkhauser, c1980 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Radon transforms and the rigidity of the Grassmannians [[electronic resource] /] / Jacques Gasqui and Hubert Goldschmidt
| Radon transforms and the rigidity of the Grassmannians [[electronic resource] /] / Jacques Gasqui and Hubert Goldschmidt |
| Autore | Gasqui Jacques |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2004 |
| Descrizione fisica | 1 online resource (385 p.) |
| Disciplina | 515/.723 |
| Altri autori (Persone) | GoldschmidtHubert <1942-> |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Radon transforms
Grassmann manifolds |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-282-15898-8
9786612158988 1-4008-2617-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- INTRODUCTION -- Chapter I. Symmetric Spaces and Einstein Manifolds -- Chapter II. Radon Transforms on Symmetric Spaces -- Chapter III. Symmetric Spaces of Rank One -- Chapter IV. The Real Grassmannians -- Chapter V. The Complex Quadric -- Chapter VI. The Rigidity of the Complex Quadric -- Chapter VII. The Rigidity of the Real Grassmannians -- Chapter VIII. The Complex Grassmannians -- Chapter IX. The Rigidity of the Complex Grassmannians -- Chapter X. Products of Symmetric Spaces -- References -- Index |
| Record Nr. | UNINA-9910454966803321 |
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Gasqui Jacques
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| Princeton, N.J., : Princeton University Press, 2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Radon transforms and the rigidity of the Grassmannians [[electronic resource] /] / Jacques Gasqui and Hubert Goldschmidt
| Radon transforms and the rigidity of the Grassmannians [[electronic resource] /] / Jacques Gasqui and Hubert Goldschmidt |
| Autore | Gasqui Jacques |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2004 |
| Descrizione fisica | 1 online resource (385 p.) |
| Disciplina | 515/.723 |
| Altri autori (Persone) | GoldschmidtHubert <1942-> |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Radon transforms
Grassmann manifolds |
| Soggetto non controllato |
Adjoint
Automorphism Cartan decomposition Cartan subalgebra Casimir element Closed geodesic Cohomology Commutative property Complex manifold Complex number Complex projective plane Complex projective space Complex vector bundle Complexification Computation Constant curvature Coset Covering space Curvature Determinant Diagram (category theory) Diffeomorphism Differential form Differential geometry Differential operator Dimension (vector space) Dot product Eigenvalues and eigenvectors Einstein manifold Elliptic operator Endomorphism Equivalence class Even and odd functions Exactness Existential quantification G-module Geometry Grassmannian Harmonic analysis Hermitian symmetric space Hodge dual Homogeneous space Identity element Implicit function Injective function Integer Integral Isometry Killing form Killing vector field Lemma (mathematics) Lie algebra Lie derivative Line bundle Mathematical induction Morphism Open set Orthogonal complement Orthonormal basis Orthonormality Parity (mathematics) Partial differential equation Projection (linear algebra) Projective space Quadric Quaternionic projective space Quotient space (topology) Radon transform Real number Real projective plane Real projective space Real structure Remainder Restriction (mathematics) Riemann curvature tensor Riemann sphere Riemannian manifold Rigidity (mathematics) Scalar curvature Second fundamental form Simple Lie group Standard basis Stokes' theorem Subgroup Submanifold Symmetric space Tangent bundle Tangent space Tangent vector Tensor Theorem Topological group Torus Unit vector Unitary group Vector bundle Vector field Vector space X-ray transform Zero of a function |
| ISBN |
1-282-15898-8
9786612158988 1-4008-2617-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- INTRODUCTION -- Chapter I. Symmetric Spaces and Einstein Manifolds -- Chapter II. Radon Transforms on Symmetric Spaces -- Chapter III. Symmetric Spaces of Rank One -- Chapter IV. The Real Grassmannians -- Chapter V. The Complex Quadric -- Chapter VI. The Rigidity of the Complex Quadric -- Chapter VII. The Rigidity of the Real Grassmannians -- Chapter VIII. The Complex Grassmannians -- Chapter IX. The Rigidity of the Complex Grassmannians -- Chapter X. Products of Symmetric Spaces -- References -- Index |
| Record Nr. | UNINA-9910778216403321 |
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Gasqui Jacques
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| Princeton, N.J., : Princeton University Press, 2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Soggetto topico
-
Radon transforms
(16)
- Grassmann manifolds (4)
- Integral geometry (4)
- Geometric analysis (3)
- Tomography (3)