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THE ROTATION THEOREM ON ANALOGUE OF WIENER SPACE
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  • Journal title : Honam Mathematical Journal
  • Volume 29, Issue 4,  2007, pp.577-588
  • Publisher : The Honam Mathematical Society
  • DOI : 10.5831/HMJ.2007.29.4.577
 Title & Authors
THE ROTATION THEOREM ON ANALOGUE OF WIENER SPACE
Ryu, Kun-Sik; Shim, Shung-Hoon;
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 Abstract
Bearman`s rotation theorem is not only very important in pure mathematics but also plays the key role for various research areas, related to Wiener measure. In 2002, the author and professor Im introduced the concept of analogue of Wiener measure, a kind of generalization of Wiener measure and they presented the several papers associated with it. In this article, we prove a formula on analogue of Wiener measure, similar to the formula in Bearman`s rotation theorem.
 Keywords
analogue of Wiener measure;rotation theorem;
 Language
English
 Cited by
1.
INTEGRATION WITH RESPECT TO ANALOGUE OF WIENER MEASURE OVER PATHS IN WIENER SPACE AND ITS APPLICATIONS,;

대한수학회보, 2010. vol.47. 1, pp.131-149 crossref(new window)
2.
AN INTEGRATION FORMULA FOR ANALOGUE OF WIENER MEASURE AND ITS APPLICATIONS,;

충청수학회지, 2010. vol.23. 4, pp.711-720
1.
Survey of the Theories for Analogue of Wiener Measure Space, Interdisciplinary Information Sciences, 2009, 15, 3, 319  crossref(new windwow)
 References
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K. S. Ryu and M. K. Im: A measure-valued analogue of Wiener measure and the measure-valued Feynman-Kac formula, Thans. Amer. Math. Soc. 354 (2002), 4921-4951. crossref(new window)

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K. S. Ryu and M. K. Im: An analogue of Wiener measure and its applicatzons, J. Korean Math. Soc. 39 (2002), 801-819. crossref(new window)

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K. S. Ryu and M. K. Im: The measure-valued Dyson series and its stability theorem, J. Korean Math. Soc. 43 (2006), 461-489. crossref(new window)

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