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

• Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , [2008]; ©2008
• Descrizione fisica: 1 online resource (282 p.)
• Disciplina: 515/.723
• Soggetto topico: Integral geometry; Integral transforms; Harmonic analysis
• Persona (resp. second.): ÓlafssonGestur
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references.
• 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""
• Titolo autorizzato: Radon transforms, geometry, and wavelets
• ISBN: 0-8218-8143-4; 0-8218-4327-3
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910821758403321
• Lo trovi qui: Univ. Federico II
• Serie: Contemporary mathematics (American Mathematical Society) ; ; v. 464.