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Metrische Sätze Der C-Gleichverteilung Auf Der Sphäre

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1262)

Abstract

In this paper the weighted C-uniform distribution is considered on the sphere. A sufficient condition for the weight g is given to guarantee that almost all (with respect to the Wiener measure) continuous functions are uniformly distributed. A law of iterated logarithm is stated for the n-dimensional sphere.

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© 1987 Springer-Verlag

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Blümlinger, M., Drmota, M., Tichy, R.F. (1987). Metrische Sätze Der C-Gleichverteilung Auf Der Sphäre. In: Hlawka, E. (eds) Zahlentheoretische Analysis II. Lecture Notes in Mathematics, vol 1262. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078592

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  • DOI: https://doi.org/10.1007/BFb0078592

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18015-9

  • Online ISBN: 978-3-540-47256-8

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