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학술저널

THE ARCSINE LAW IN THE GENERALIZED ANALOGUE OF WIENER SPACE

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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.

1. Introduction

2. The definitions and the basics properties of generalized analogue of Wiener space

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