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THE ARCSINE LAW IN THE GENERALIZED ANALOGUE OF WIENER SPACE

  • Ryu, Kun Sik (Department of Mathematics Education Hannam University)
  • Received : 2016.10.31
  • Accepted : 2016.12.16
  • Published : 2017.02.15

Abstract

In this note, we prove the theorems in the generalized analogue of Wiener space corresponding to the second and the third arcsine laws in either concrete or analogue of Wiener space [1, 2, 7] and we show that our results are exactly same to either the concrete or the analogue of Wiener case when the initial condition gives either the Dirac measure at the origin or the probability Borel measure.

Keywords

Acknowledgement

Supported by : Hannam University

References

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