03956nam 2200625 450 991048003290332120180731045347.00-8218-8143-40-8218-4327-3(CKB)3240000000069990(EBL)3113418(SSID)ssj0000629416(PQKBManifestationID)11451447(PQKBTitleCode)TC0000629416(PQKBWorkID)10730859(PQKB)11778325(MiAaPQ)EBC3113418(PPN)197107915(EXLCZ)99324000000006999020080320h20082008 uy| 0engur|n|---|||||txtccrRadon 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], editorsProvidence, Rhode Island :American Mathematical Society,[2008]©20081 online resource (282 p.)Contemporary mathematics,0271-4132 ;464Description based upon print version of record.Includes bibliographical references.""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""Contemporary mathematics (American Mathematical Society) ;v. 464.Integral geometryCongressesIntegral transformsCongressesHarmonic analysisCongressesElectronic books.Integral geometryIntegral transformsHarmonic analysis515/.723Ólafsson GesturAMS Special Session on Frames and Wavelets in Harmonic Analysis, Geometry, and Applications(2007 :New Orleans, La.),Workshop on Harmonic Analysis and Applications(2007 :Baton Rouge, La.),MiAaPQMiAaPQMiAaPQBOOK9910480032903321Radon transforms, geometry, and wavelets810095UNINA