Fri Mar 21 17:11:22 2014 UTClccn-n800943930.00Investigations in harmonic analysis, ergodic theory, and related topics in analysis0.741.00Prediction theory33301107Hillel_Furstenbergn 80094393475461Furstenberg, H.Furstenberg, Hillelnp-katznelson, iKatznelson, I.np-shamir, eShamir, E.np-cameron, r hCameron, R. H.np-baxter, g eBaxter, G. E.viaf-279636234Fürstenberg, Carllccn-n81023583Katok, A. B.lccn-n98022288Feres, Renato1962-np-barndorffnielsen, oBarndorffNielsen, O.nc-hebrew univ jerusalem israel inst of mathematicsHEBREW UNIV JERUSALEM (Israel) INST OF MATHEMATICSnc-hebrew univ jerusalem israelHEBREW UNIV JERUSALEM (Israel)Furstenberg, HarryConference proceedingsMathematical statisticsStochastic processesTopological dynamicsCombinatorial number theoryErgodic theoryProbabilitiesRigidity (Geometry)Stationary processesLaplace transformation1935195819601963196519691970197119761981199320052006200820098991640519QA273ocn634487209ocn63448718446414ocn000527021book19600.73Furstenberg, HarryStationary processes and prediction theory+-+569535641541110ocn006625668book19810.76Furstenberg, HarryRecurrence in ergodic theory and combinatorial number theory61ocn603260832book19600.47Furstenberg, HarryStationary processes and predication theory42ocn027154012book19650.81Furstenberg, HarryDisjointness in ergodic theory, minimal sets and a problem in diophantine approximation22ocn227585281book1970Investigations in harmonic analysis, ergodic theory, and related topics in analysisThe report describes problems belonging to classical Fourier analysis. These involve properties of certain Banach spaces of functions on the circle which are defined in terms of the Fourier series of the functions. Harmonic analysis is also used to sharpen a theorem in ergodic theory. The main result proved is that any ergodic automorphism of the torus is measure-theoretically isomorphic to a Bernoulli shift. This was known to be true under added conditions on the eigenvalues of the automorphism. The original methods depended heavily on the geometry of the torus and did not lend themselves to generalization to other compact abelian groups. The present method is more powerful and should generalize to other groups. The authors also use notions of ergodic theory as a tool in group theory. A group is studied in terms of the manner in which it can act on a compact space. These notions are useful in the theory of discrete subgroups of a Lie group. Finally, the authors consider the regularity of solutions to elliptic differential equations. (Author)21ocn472188639book19600.10Stationary Process and Prediction Theory11ocn613554095book19930.47Igud ha-Yiśreʼeli le-matemaṭiḳahProceedings of the Israel mathematical Union Conference, beer Sheva, 199311ocn227557022book1969Functional analysis and stochastic processesResearch was continued in the areas of Wiener and Feynman integrals, analytic functions of several complex variables, ergodic theory, and Markov and other stochastic processes. (Author)11ocn795714472book19931.00Seminar in Geometric RigiditySeminar in Geometric Rigidity, 1992-93 : lecture notesConference proceedings11ocn634736286book19760.47Furstenberg, HarryErgodic behavior of diagonal measures and a theorem of Szemerédi on arithmetic progressions11ocn227318013book1963(No title)A number of problems in Functional Analysis, Integration in Function Space, Stochastic Processes and related areas have been studied and several papers have been written. (Author)11ocn080176165book19310.47Fürstenberg, CarlDie Lebensgeschichte eines deutschen Bankiers 1870-1914. Hrsg. von seinem Sohn H. Fürstenberg. Mit 16 Taf. und 3 Fak11ocn084433532book19581.00Furstenberg, HarryPrediction theory11ocn634487209book20050.47Special volumes in honor of Hillel Furstenberg : following a conference Probability in mathematics held at the Hebrew University of Jerusalem, June 17 - 19, 2003 and Ben-Gurion University of the Negev, June 22 - 24, 200311ocn795376636book20060.10Furstenberg, HarryDynamical methods in ramsey theory11ocn634487184book20050.47Special volumes in honor of Hillel Furstenberg : following a conference Probability in mathematics held at the Hebrew University of Jerusalem, June 17 - 19, 2003 and Ben-Gurion University of the Negev, June 22 - 24, 2003+-+5695356415+-+5695356415Fri Mar 21 15:36:33 EDT 2014batch8194