LEADER 04169nam 2200625 450 001 9910821757603321 005 20180731043848.0 010 $a0-8218-8123-X 010 $a0-8218-4235-8 035 $a(CKB)3240000000069970 035 $a(EBL)3113131 035 $a(SSID)ssj0000629473 035 $a(PQKBManifestationID)11437693 035 $a(PQKBTitleCode)TC0000629473 035 $a(PQKBWorkID)10731453 035 $a(PQKB)11127358 035 $a(MiAaPQ)EBC3113131 035 $a(RPAM)14897907 035 $a(PPN)197107710 035 $a(EXLCZ)993240000000069970 100 $a20070620h20072007 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aTopics in harmonic analysis and ergodic theory $eDecember 2-4, 2005, DePaul University, Chicago, Illinois /$fJoseph M. Rosenblatt, Alexander M. Stokolos, Ahmed I. Zayed, editors 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2007] 210 4$dİ2007 215 $a1 online resource (242 p.) 225 1 $aContemporary mathematics,$x0271-4132 ;$vvolume 444 300 $aDescription based upon print version of record. 320 $aIncludes bibliographical references. 327 $a""Contents""; ""Preface""; ""List of Participants""; ""Topics in Ergodic Theory and Harmonic Analysis: An Overview""; ""The mathematical work of Roger Jones""; ""The Central Limit Theorem for Random Walks on Orbits of Probability Preserving Transformations""; ""Probability, Ergodic Theory, and Low-Pass Filters""; ""(1) Introduction. An overview. Basic notation""; ""(2) Two simple examples: the Haar function and the stretched Haar function. Correcting defective filters""; ""(3) An outline of the probability argument: Low-pass filters as transition probabilities and a zero-one principle"" 327 $a""(10) The asymptotic behavior of paths from an initial point. Recurrent and transient points. Attractors and inaccessible sets. Examples""""(11) The probabilistic description of low-pass filters (Theorem 11.1)""; ""(12) The polynomial case: Daubechies' filters and the Pascal-Fermat correspondence. Cohen's necessary and sufficient conditions. A zero-one principle (Theorem 12.1)""; ""(13) Analytic conditions for low-pass filters. A class of examples from subshifts of finite type (Theorem 13.1)""; ""(14) Concluding remarks""; ""(15) References"" 327 $a""Ergodic Theory on Borel Foliations by Rn and Zn""""Short review of the work of Professor J. Marshall Ash""; ""Uniqueness questions for multiple trigonometric series""; ""1. Introduction""; ""2. Some Cantor-Lebesgue Type Theorems""; ""2.1. Square Summation""; ""2.2. Restrictedly Rectangular Summation""; ""2.3. Unrestrictedly Rectangular Summation""; ""2.4. Spherical Summation""; ""3. A Uniqueness Theorem for Unrestrictedly Rectangular Convergence""; ""4. A Uniqueness Theorem for Spherical Convergence""; ""5. Sets of Uniqueness under Spherical Summation"" 327 $a""6. Questions about Square and Restricted Rectangular Uniqueness""""6.1. Three weak theorems""; ""6.2. Some conjectures""; ""6.3. Towards a counterexample""; ""7. Orthogonal Trigonometric Polynomials""; ""References""; ""Smooth interpolation of functions on Rn""; ""Problems in interpolation theory related to the almost everywhere convergence of Fourier series""; ""Lectures on Nehari's Theorem on the Polydisk""; ""The s-function and the exponential integral"" 410 0$aContemporary mathematics (American Mathematical Society) ;$vv. 444. 606 $aHarmonic analysis$vCongresses 606 $aErgodic theory$vCongresses 606 $aGeometry$xData processing$vCongresses 615 0$aHarmonic analysis 615 0$aErgodic theory 615 0$aGeometry$xData processing 676 $a515/.2433 702 $aRosenblatt$b J$g(Joseph),$f1946- 702 $aStokolos$b Alexander M.$f1960- 702 $aZayed$b Ahmed I. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910821757603321 996 $aTopics in harmonic analysis and ergodic theory$9718204 997 $aUNINA