LEADER 03953nam 2200625 450 001 9910821758403321 005 20180731045347.0 010 $a0-8218-8143-4 010 $a0-8218-4327-3 035 $a(CKB)3240000000069990 035 $a(EBL)3113418 035 $a(SSID)ssj0000629416 035 $a(PQKBManifestationID)11451447 035 $a(PQKBTitleCode)TC0000629416 035 $a(PQKBWorkID)10730859 035 $a(PQKB)11778325 035 $a(MiAaPQ)EBC3113418 035 $a(RPAM)15226398 035 $a(PPN)197107915 035 $a(EXLCZ)993240000000069990 100 $a20080320h20082008 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aRadon transforms, geometry, and wavelets $eAMS Special Session, January 7-8, 2007, New Orleans, Louisiana : Workshop, January 4-5, 2007, Baton Rouge, Louisiana /$fGestur O?lafsson [and six others], editors 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2008] 210 4$dİ2008 215 $a1 online resource (282 p.) 225 1 $aContemporary mathematics,$x0271-4132 ;$v464 300 $aDescription based upon print version of record. 320 $aIncludes bibliographical references. 327 $a""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."" 327 $a""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"" 327 $a""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 I??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"" 327 $a""Helgason's Support Theorem and Spherical Radon Transforms"" 410 0$aContemporary mathematics (American Mathematical Society) ;$vv. 464. 606 $aIntegral geometry$vCongresses 606 $aIntegral transforms$vCongresses 606 $aHarmonic analysis$vCongresses 615 0$aIntegral geometry 615 0$aIntegral transforms 615 0$aHarmonic analysis 676 $a515/.723 702 $aO?lafsson$b Gestur 712 12$aAMS Special Session on Frames and Wavelets in Harmonic Analysis, Geometry, and Applications$f(2007 :$eNew Orleans, La.), 712 12$aWorkshop on Harmonic Analysis and Applications$f(2007 :$eBaton Rouge, La.), 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910821758403321 996 $aRadon transforms, geometry, and wavelets$9810095 997 $aUNINA