The wiener lemma and cocycles

Marek R Rychlik

Research output: Contribution to journal › Article

2 Citations (Scopus)

Abstract

We giv;…ufficient and necessary condition fo;…unction with its values in the unit circle to b;…ultiplicative coboundary. This theorem generalizes the following result of Veech [1]. Let T;…#x2192;……otation of the unit circl;…y an irrational angle θ. Let F;…#x2192;……easuable function. The;……ultiplicative coboundary iff ∫T F(x)F(Tx) ……Tn-1x)dμ(x) → 1, as ||nθ|| → θ where ||no|| is the distance of no from integers an;…s the Haar measure.

Original languageEnglish (US)
Pages (from-to)787-792
Number of pages6
JournalProceedings of the American Mathematical Society
Volume104
Issue number3
DOIs
StatePublished - Nov 1 1988
Externally publishedYes

Fingerprint

Haar Measure
Cocycle
Unit circle
Lemma
Angle
Necessary Conditions
Generalise
Unit
Integer
Theorem

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

The wiener lemma and cocycles. / Rychlik, Marek R.

In: Proceedings of the American Mathematical Society, Vol. 104, No. 3, 01.11.1988, p. 787-792.

Research output: Contribution to journal › Article

Rychlik, MR 1988, 'The wiener lemma and cocycles', Proceedings of the American Mathematical Society, vol. 104, no. 3, pp. 787-792. https://doi.org/10.1090/S0002-9939-1988-0964876-6
Rychlik MR. The wiener lemma and cocycles. Proceedings of the American Mathematical Society. 1988 Nov 1;104(3):787-792. https://doi.org/10.1090/S0002-9939-1988-0964876-6
Rychlik, Marek R. / The wiener lemma and cocycles. In: Proceedings of the American Mathematical Society. 1988 ; Vol. 104, No. 3. pp. 787-792.
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