A Note On Fourier-Denjoy Series

Posted on:2006-10-18

Degree:Master

Type:Thesis

Country:China

Candidate:B Wu

Full Text:PDF

GTID:2120360152490147

Subject:Basic mathematics

Abstract/Summary:

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In this paper, we discuss Fourier-Denjoy series. We first prove some convergence theorems in a new way. And this method of proof may be understood easily.Secondly, we discuss several typical properties of Fourier-Denjoy series. Then we obtain a nice property of the partial sum of Fourier-Denjoy, which dissatisfied Riemann-Lebesgue lemma.Finally, we discuss anomalous integral, which play a important role of Fourier-Denjoy series.

Keywords/Search Tags:

Denjoy Integral, Fourier-Lebesgue Series, Fourier-Denjoy Series, Anomalous Integral.

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