A CENTRAL LIMIT THEOREM AND A STRONG MIXING CONDITION

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1956

Year

M. Rosenblatt

Proceedings of the National Academy of Sciences

Spectral TheoryScientific ResearchEngineeringPotential TheoryFourier AnalysisProbability TheoryMathematical StatisticBounded FunctionsFunctional AnalysisCentral Limit TheoremFourier ExpansionApproximation TheoryStatisticsStochastic GeometryHarmonic Space

Abstract

* research for this paper was supported by the United States Air Force under Contract No. AF18(600-685) monitored by the Office of Scientific Research. 1 A discussion of the problem along with the necessary references will be found in Harry Pollard, The Harmonic Analysis of Bounded Functions, Duke Math. / . , 20, 499-512, 1953. 2 See ibid. 3 See S. Bochner, Fouriersche Integrate (Leipzig, 1932), p. 33. 4 Levitan polynomial. See N.I. Achieser, Approximationstheorie (Berlin, 1953), p. 146.