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Nonlinear integral operators and applications [[electronic resource] /] / Carlo Bardaro, Julian Musielak, Gianluca Vinti
| Nonlinear integral operators and applications [[electronic resource] /] / Carlo Bardaro, Julian Musielak, Gianluca Vinti |
| Autore | Bardaro Carlo |
| Pubbl/distr/stampa | Berlin ; ; New York, : Walter de Gruyter, 2003 |
| Descrizione fisica | 1 online resource (213 p.) |
| Disciplina | 515/.723 |
| Altri autori (Persone) |
MusielakJulian <1928->
VintiGianluca |
| Collana | De Gruyter series in nonlinear analysis and applications |
| Soggetto topico |
Integral operators
Nonlinear operators |
| ISBN |
1-282-19474-7
9786612194740 3-11-019927-0 |
| Classificazione | CC 2600 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Chapter 1. Kernel functionals and modular spaces -- Chapter 2. Absolutely continuous modulars and moduli of continuity -- Chapter 3. Approximation by convolution type operators -- Chapter 4. Urysohn integral operators with homogeneous kernel functions. Applications to nonlinear Mellin-type convolution operators -- Chapter 5. Summability methods by convolution-type operators -- Chapter 6. Nonlinear integral operators in the space BVϕ -- Chapter 7. Application to nonlinear integral equations -- Chapter 8. Uniform approximation by sampling type operators. Applications in signal analysis -- Chapter 9. Modular approximation by sampling type operators -- Back matter |
| Record Nr. | UNINA-9910829117703321 |
Bardaro Carlo
|
||
| Berlin ; ; New York, : Walter de Gruyter, 2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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 |
|
Gasqui Jacques
|
||
| Princeton, N.J., : Princeton University Press, 2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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 |
|
Gasqui Jacques
|
||
| Princeton, N.J., : Princeton University Press, 2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Radon transforms and the rigidity of the Grassmannians / / Jacques Gasqui and Hubert Goldschmidt
| Radon transforms and the rigidity of the Grassmannians / / 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-9910812650003321 |
|
Gasqui Jacques
|
||
| Princeton, N.J., : Princeton University Press, 2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Radon transforms and tomography : 2000 AMS-IMS-SIAM Joint Summer Research Conference on Radon Transforms and Tomography, Mount Holyoke College, South Hadley, Massachusetts, June 18-22, 2000 / / Eric Todd Quinto [and four others], editors
| Radon transforms and tomography : 2000 AMS-IMS-SIAM Joint Summer Research Conference on Radon Transforms and Tomography, Mount Holyoke College, South Hadley, Massachusetts, June 18-22, 2000 / / Eric Todd Quinto [and four others], editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2001] |
| Descrizione fisica | 1 online resource (274 p.) |
| Disciplina | 515/.723 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Radon transforms
Tomography |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-8218-7868-9
0-8218-5614-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""I. Expository Papers""; ""Local tomography and related problems""; ""Tomography problems arising in synthetic aperture radar""; ""Introduction to local tomography""; ""Algorithms in ultrasound tomography""; ""Radon transforms, differential equations, and microlocal analysis""; ""Supplementary bibliography to ""A bibliographic survey of the Pompeiu problem""""; ""II. Research Papers""; ""Twistor results for integral transforms""; ""Injectivity for a weighted vectorial Radon transform""
""Shape reconstruction in 2d from limited-view multifrequency electromagnetic data""""Three problems at Mount Holyoke""; ""A Paley-Wiener theorem for central functions on compact Lie groups""; ""Inversion of the spherical Radon transform by a Poisson type formula""; ""Application of the Radon transform to calibration of the NASA-Glenn icing research wind tunnel""; ""Range theorems for the Radon transform and its dual""; ""Moment conditions indirectly improve image quality""; ""Principles of reconstruction filter design in 2D-computerized tomography"" ""The k-dimensional Radon transform on the n-sphere and related wavelet transforms""""Reconstruction of high contrast 2-D conductivities by the algorithm of A. Nachman""; ""Integral geometry problem with incomplete data for tensor fields in a complex space"" |
| Record Nr. | UNINA-9910480309503321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2001] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Radon transforms and tomography : 2000 AMS-IMS-SIAM Joint Summer Research Conference on Radon Transforms and Tomography, Mount Holyoke College, South Hadley, Massachusetts, June 18-22, 2000 / / Eric Todd Quinto [and four others], editors
| Radon transforms and tomography : 2000 AMS-IMS-SIAM Joint Summer Research Conference on Radon Transforms and Tomography, Mount Holyoke College, South Hadley, Massachusetts, June 18-22, 2000 / / Eric Todd Quinto [and four others], editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2001] |
| Descrizione fisica | 1 online resource (274 p.) |
| Disciplina | 515/.723 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Radon transforms
Tomography |
| ISBN |
0-8218-7868-9
0-8218-5614-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""I. Expository Papers""; ""Local tomography and related problems""; ""Tomography problems arising in synthetic aperture radar""; ""Introduction to local tomography""; ""Algorithms in ultrasound tomography""; ""Radon transforms, differential equations, and microlocal analysis""; ""Supplementary bibliography to ""A bibliographic survey of the Pompeiu problem""""; ""II. Research Papers""; ""Twistor results for integral transforms""; ""Injectivity for a weighted vectorial Radon transform""
""Shape reconstruction in 2d from limited-view multifrequency electromagnetic data""""Three problems at Mount Holyoke""; ""A Paley-Wiener theorem for central functions on compact Lie groups""; ""Inversion of the spherical Radon transform by a Poisson type formula""; ""Application of the Radon transform to calibration of the NASA-Glenn icing research wind tunnel""; ""Range theorems for the Radon transform and its dual""; ""Moment conditions indirectly improve image quality""; ""Principles of reconstruction filter design in 2D-computerized tomography"" ""The k-dimensional Radon transform on the n-sphere and related wavelet transforms""""Reconstruction of high contrast 2-D conductivities by the algorithm of A. Nachman""; ""Integral geometry problem with incomplete data for tensor fields in a complex space"" |
| Record Nr. | UNINA-9910788655303321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2001] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Radon transforms and tomography : 2000 AMS-IMS-SIAM Joint Summer Research Conference on Radon Transforms and Tomography, Mount Holyoke College, South Hadley, Massachusetts, June 18-22, 2000 / / Eric Todd Quinto [and four others], editors
| Radon transforms and tomography : 2000 AMS-IMS-SIAM Joint Summer Research Conference on Radon Transforms and Tomography, Mount Holyoke College, South Hadley, Massachusetts, June 18-22, 2000 / / Eric Todd Quinto [and four others], editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2001] |
| Descrizione fisica | 1 online resource (274 p.) |
| Disciplina | 515/.723 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Radon transforms
Tomography |
| ISBN |
0-8218-7868-9
0-8218-5614-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""I. Expository Papers""; ""Local tomography and related problems""; ""Tomography problems arising in synthetic aperture radar""; ""Introduction to local tomography""; ""Algorithms in ultrasound tomography""; ""Radon transforms, differential equations, and microlocal analysis""; ""Supplementary bibliography to ""A bibliographic survey of the Pompeiu problem""""; ""II. Research Papers""; ""Twistor results for integral transforms""; ""Injectivity for a weighted vectorial Radon transform""
""Shape reconstruction in 2d from limited-view multifrequency electromagnetic data""""Three problems at Mount Holyoke""; ""A Paley-Wiener theorem for central functions on compact Lie groups""; ""Inversion of the spherical Radon transform by a Poisson type formula""; ""Application of the Radon transform to calibration of the NASA-Glenn icing research wind tunnel""; ""Range theorems for the Radon transform and its dual""; ""Moment conditions indirectly improve image quality""; ""Principles of reconstruction filter design in 2D-computerized tomography"" ""The k-dimensional Radon transform on the n-sphere and related wavelet transforms""""Reconstruction of high contrast 2-D conductivities by the algorithm of A. Nachman""; ""Integral geometry problem with incomplete data for tensor fields in a complex space"" |
| Record Nr. | UNINA-9910817969603321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2001] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Radon transforms, geometry, and wavelets : AMS Special Session, January 7-8, 2007, New Orleans, Louisiana : Workshop, January 4-5, 2007, Baton Rouge, Louisiana / / Gestur Ólafsson [and six others], editors
| Radon transforms, geometry, and wavelets : AMS Special Session, January 7-8, 2007, New Orleans, Louisiana : Workshop, January 4-5, 2007, Baton Rouge, Louisiana / / Gestur Ólafsson [and six others], editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
| Descrizione fisica | 1 online resource (282 p.) |
| Disciplina | 515/.723 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Integral geometry
Integral transforms Harmonic analysis |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-8218-8143-4
0-8218-4327-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Combined List of Speakers and Titles of Their Talks""; ""Composite Wavelet Transforms: Applications and Perspectives""; ""1. Introduction.""; ""2. Composite wavelet transforms for dilated kernels.""; ""3. Wavelet transforms associated to one-parametric semigroups and inversion of potentials.""; ""4. Wavelet transforms with the generalized translation operator.""; ""5. Beta-semigroups.""; ""6. Parabolic wavelet transforms.""; ""7. Some applications to inversion of the k-plane Radon transform.""; ""8. Higher-rank composite wavelet transforms and open problems.""
""References""""Complex Sigma-Delta Quantization Algorithms for Finite Frames""; ""Decomposition and Admissibility for the Quasiregular Representation for Generalized Oscillator Groups""; ""Fourier Series on Fractals: A Parallel with Wavelet Theory""; ""1. Introduction""; ""1.1. Complex systems""; ""2. Multiresolution wavelets and Iterated Function Systems""; ""2.1. The attractor""; ""2.2. Multiresolutions""; ""2.3. The scaling equation, the invariance equation""; ""2.4. Orthogonality of the translates of the scaling function; orthogonality of the exponentials"" ""2.5. The quadrature mirror filter condition and Hadamard triples""""2.6. Lawton's theorem and transfer operators""; ""2.7. Cohen's orthogonality condition and the Laba-Wang theorem""; ""2.8. Super-wavelets and the completion of Î?0""; ""3. Open problems""; ""4. Appendix, with some of Jorgensen's recollections of conversations with Irving Segal, Marshall Stone, Bent Fuglede, and David Shale.""; ""References""; ""A Computational Complexity Paradigm for Tomography""; ""Invariant Differential Operators on Matrix Motion Groups and Applications to the Matrix Radon Transform"" ""Helgason's Support Theorem and Spherical Radon Transforms"" |
| Record Nr. | UNINA-9910480032903321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2008] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Radon transforms, geometry, and wavelets : AMS Special Session, January 7-8, 2007, New Orleans, Louisiana : Workshop, January 4-5, 2007, Baton Rouge, Louisiana / / Gestur Ólafsson [and six others], editors
| Radon transforms, geometry, and wavelets : AMS Special Session, January 7-8, 2007, New Orleans, Louisiana : Workshop, January 4-5, 2007, Baton Rouge, Louisiana / / Gestur Ólafsson [and six others], editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
| Descrizione fisica | 1 online resource (282 p.) |
| Disciplina | 515/.723 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Integral geometry
Integral transforms Harmonic analysis |
| ISBN |
0-8218-8143-4
0-8218-4327-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Combined List of Speakers and Titles of Their Talks""; ""Composite Wavelet Transforms: Applications and Perspectives""; ""1. Introduction.""; ""2. Composite wavelet transforms for dilated kernels.""; ""3. Wavelet transforms associated to one-parametric semigroups and inversion of potentials.""; ""4. Wavelet transforms with the generalized translation operator.""; ""5. Beta-semigroups.""; ""6. Parabolic wavelet transforms.""; ""7. Some applications to inversion of the k-plane Radon transform.""; ""8. Higher-rank composite wavelet transforms and open problems.""
""References""""Complex Sigma-Delta Quantization Algorithms for Finite Frames""; ""Decomposition and Admissibility for the Quasiregular Representation for Generalized Oscillator Groups""; ""Fourier Series on Fractals: A Parallel with Wavelet Theory""; ""1. Introduction""; ""1.1. Complex systems""; ""2. Multiresolution wavelets and Iterated Function Systems""; ""2.1. The attractor""; ""2.2. Multiresolutions""; ""2.3. The scaling equation, the invariance equation""; ""2.4. Orthogonality of the translates of the scaling function; orthogonality of the exponentials"" ""2.5. The quadrature mirror filter condition and Hadamard triples""""2.6. Lawton's theorem and transfer operators""; ""2.7. Cohen's orthogonality condition and the Laba-Wang theorem""; ""2.8. Super-wavelets and the completion of Î?0""; ""3. Open problems""; ""4. Appendix, with some of Jorgensen's recollections of conversations with Irving Segal, Marshall Stone, Bent Fuglede, and David Shale.""; ""References""; ""A Computational Complexity Paradigm for Tomography""; ""Invariant Differential Operators on Matrix Motion Groups and Applications to the Matrix Radon Transform"" ""Helgason's Support Theorem and Spherical Radon Transforms"" |
| Record Nr. | UNINA-9910788794603321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2008] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Radon transforms, geometry, and wavelets : AMS Special Session, January 7-8, 2007, New Orleans, Louisiana : Workshop, January 4-5, 2007, Baton Rouge, Louisiana / / Gestur Ólafsson [and six others], editors
| Radon transforms, geometry, and wavelets : AMS Special Session, January 7-8, 2007, New Orleans, Louisiana : Workshop, January 4-5, 2007, Baton Rouge, Louisiana / / Gestur Ólafsson [and six others], editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
| Descrizione fisica | 1 online resource (282 p.) |
| Disciplina | 515/.723 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Integral geometry
Integral transforms Harmonic analysis |
| ISBN |
0-8218-8143-4
0-8218-4327-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Combined List of Speakers and Titles of Their Talks""; ""Composite Wavelet Transforms: Applications and Perspectives""; ""1. Introduction.""; ""2. Composite wavelet transforms for dilated kernels.""; ""3. Wavelet transforms associated to one-parametric semigroups and inversion of potentials.""; ""4. Wavelet transforms with the generalized translation operator.""; ""5. Beta-semigroups.""; ""6. Parabolic wavelet transforms.""; ""7. Some applications to inversion of the k-plane Radon transform.""; ""8. Higher-rank composite wavelet transforms and open problems.""
""References""""Complex Sigma-Delta Quantization Algorithms for Finite Frames""; ""Decomposition and Admissibility for the Quasiregular Representation for Generalized Oscillator Groups""; ""Fourier Series on Fractals: A Parallel with Wavelet Theory""; ""1. Introduction""; ""1.1. Complex systems""; ""2. Multiresolution wavelets and Iterated Function Systems""; ""2.1. The attractor""; ""2.2. Multiresolutions""; ""2.3. The scaling equation, the invariance equation""; ""2.4. Orthogonality of the translates of the scaling function; orthogonality of the exponentials"" ""2.5. The quadrature mirror filter condition and Hadamard triples""""2.6. Lawton's theorem and transfer operators""; ""2.7. Cohen's orthogonality condition and the Laba-Wang theorem""; ""2.8. Super-wavelets and the completion of Î?0""; ""3. Open problems""; ""4. Appendix, with some of Jorgensen's recollections of conversations with Irving Segal, Marshall Stone, Bent Fuglede, and David Shale.""; ""References""; ""A Computational Complexity Paradigm for Tomography""; ""Invariant Differential Operators on Matrix Motion Groups and Applications to the Matrix Radon Transform"" ""Helgason's Support Theorem and Spherical Radon Transforms"" |
| Record Nr. | UNINA-9910821758403321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2008] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
