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Record Nr. |
UNINA9910821758403321 |
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Titolo |
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 |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [2008] |
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©2008 |
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ISBN |
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0-8218-8143-4 |
0-8218-4327-3 |
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Descrizione fisica |
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1 online resource (282 p.) |
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Collana |
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Contemporary mathematics, , 0271-4132 ; ; 464 |
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Disciplina |
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Soggetti |
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Integral geometry |
Integral transforms |
Harmonic analysis |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""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"" |
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""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"" |
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