Fubini theorem for multiparameter stable process | ||
| Journal of the Egyptian Mathematical Society | ||
| Volume 19, Issue 1, June 2011, Pages 71-77 PDF (401.47 K) | ||
| DOI: 10.1016/j.joems.2011.09.010 | ||
| Authors | ||
| Mohamed Erraoui; Youssef Ouknine* | ||
| Faculte´ des Sciences Semlalia, De´partement de Mathe´matiques, Universite´ Cadi Ayyad, BP 2390, Marrakech, Morocco | ||
| Abstract | ||
| We prove stochastic Fubini theorem for general stable measure which will be used to develop some identities in law for functionals of one and two-parameter stable processes. This result is subsequently used to establish the integration by parts formula for stable sheet. | ||
| Keywords | ||
| Integration by parts; Fubini’s theorem; Stable processes; Stable sheet; Le´vy functionals | ||
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