04169nam 2200625 450 991082175760332120180731043848.00-8218-8123-X0-8218-4235-8(CKB)3240000000069970(EBL)3113131(SSID)ssj0000629473(PQKBManifestationID)11437693(PQKBTitleCode)TC0000629473(PQKBWorkID)10731453(PQKB)11127358(MiAaPQ)EBC3113131(RPAM)14897907(PPN)197107710(EXLCZ)99324000000006997020070620h20072007 uy| 0engur|n|---|||||txtccrTopics in harmonic analysis and ergodic theory December 2-4, 2005, DePaul University, Chicago, Illinois /Joseph M. Rosenblatt, Alexander M. Stokolos, Ahmed I. Zayed, editorsProvidence, Rhode Island :American Mathematical Society,[2007]©20071 online resource (242 p.)Contemporary mathematics,0271-4132 ;volume 444Description based upon print version of record.Includes bibliographical references.""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""""(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""""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""""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""Contemporary mathematics (American Mathematical Society) ;v. 444.Harmonic analysisCongressesErgodic theoryCongressesGeometryData processingCongressesHarmonic analysisErgodic theoryGeometryData processing515/.2433Rosenblatt J(Joseph),1946-Stokolos Alexander M.1960-Zayed Ahmed I.MiAaPQMiAaPQMiAaPQBOOK9910821757603321Topics in harmonic analysis and ergodic theory718204UNINA