کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1157076 | 958925 | 2006 | 22 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: On the construction of Wiener integrals with respect to certain pseudo-Bessel processes On the construction of Wiener integrals with respect to certain pseudo-Bessel processes](/preview/png/1157076.png)
In previous papers [T. Funaki, Y. Hariya, M. Yor, Wiener integrals for centered powers of Bessel processes, I, Markov Processes Related Fields (2006) (in press); T. Funaki, Y. Hariya, M. Yor, Wiener integrals for centered Bessel and related processes, II, Alea (2006) (in press)], the authors have shown that it is possible to define the Wiener-type integrals ∫01h(s)dR¯s, for every h∈L2([0,1],ds) and (R¯s) any centered Bessel process with dimension d>1d>1. In this paper, various conditions are stated, showing that such a construction is possible for a large class of processes indexed by two square integrable Brownian functionals. In particular, some of the results previously obtained for the Bessel processes are thus recovered, and in fact shown to extend to certain processes of the form tf(Rtt).
Journal: Stochastic Processes and their Applications - Volume 116, Issue 12, December 2006, Pages 1690–1711