The Henstock-Kurzweil integral for Riesz-space-valued maps was introduced by Beloslav Riecan and his school. For a recent story of the Henstock-Kurzweil and the Henstock-Stieltjes integral in vector lattices see the book B. Riecan, T. Neubrunn: Integral, Measure and Ordering, Kluwer/Ister Science, Dordrecht/Bratislava 1997, and their bibliographies. In this paper we deal with the formula of integration by parts for the Henstock-Stieltjes integral in Riesz spaces in several versions, inspiring from a Pfeffer technique and to the Maeda-Ogasawara-Vulikh representation theorem, and we give some applications to Fourier analysis and stochastic processes.
Integration by parts with respect to theHenstock-Stieltjes integral in Riesz spaces
BOCCUTO, Antonio
2000
Abstract
The Henstock-Kurzweil integral for Riesz-space-valued maps was introduced by Beloslav Riecan and his school. For a recent story of the Henstock-Kurzweil and the Henstock-Stieltjes integral in vector lattices see the book B. Riecan, T. Neubrunn: Integral, Measure and Ordering, Kluwer/Ister Science, Dordrecht/Bratislava 1997, and their bibliographies. In this paper we deal with the formula of integration by parts for the Henstock-Stieltjes integral in Riesz spaces in several versions, inspiring from a Pfeffer technique and to the Maeda-Ogasawara-Vulikh representation theorem, and we give some applications to Fourier analysis and stochastic processes.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
