Limit-periodic arithmetical functions and the ring of finite integral adeles

研究成果: Article

3 引用 (Scopus)

抄録

In this paper, we show that the ring of finite integral adeles, together with its Borel field and its normalized Haar measure, is an appropriate probability space where limit-periodic arithmetical functions can be extended to random variables. The natural extensions of additive and multiplicative functions are studied. Besides, the convergence of Fourier expansions of limit-periodic functions is proved.

元の言語English
ページ(範囲)486-506
ページ数21
ジャーナルLithuanian Mathematical Journal
51
発行部数4
DOI
出版物ステータスPublished - 2011 9 1
外部発表Yes

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Arithmetical Function
Periodic Functions
Ring
Multiplicative Functions
Haar Measure
Additive Function
Fourier Expansion
Probability Space
Natural Extension
Random variable

ASJC Scopus subject areas

  • Mathematics(all)

これを引用

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