Abstract
G.M. Petersen's concept of Strong Weyl Property in metrical theory of uniform distribution treating sequences of real numbers is generalized to the case of sequences of maps from an arbitrary measure space to a compact Hausdorff space. Many characterization theorems are proved.
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References
E. Hewitt and K.A. Ross, “Abstract Harmonic Analysis,” Springer-Verlag, Berlin, 1963.
E. Hlawka, “Theorie der Gleichverteilung,” Bibl. Inst., Mannheim-Wien-Zürich, 1979.
L. Kuipers and H. Niederreiter, “Uniform Distribution of Sequences,” John Wiley and Sons, New York, 1974.
G.M. Petersen, Sequences with the Strong Weyl Property, J. Nat. Acad. Math. 38 (1982), 236–242.
L.S. Pontrjagin, “Topologische Gruppen,” B.G. Teubner Verlagsgesellschaft, Leipzig, 1957.
R. Winkler, “Analytische und Algebraische Beiträge zur Theorie der Gleichverteilung (Dissertation),” Technische Universität, Wien, 1988.
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© 1990 Springer-Verlag
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Winkler, R. (1990). Strong Weyl property in uniform distribution. In: Hlawka, E., Tichy, R.F. (eds) Number-Theoretic Analysis. Lecture Notes in Mathematics, vol 1452. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0096993
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DOI: https://doi.org/10.1007/BFb0096993
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