Mathematica Bohemica, Vol. 143, No. 2, pp. 135-160, 2018


Itô-Henstock integral and Itô's formula for the operator-valued stochastic process

Mhelmar A. Labendia, Timothy Robin Y. Teng, Elvira P. de Lara-Tuprio

Received September 28, 2016.  First published June 1, 2017.

Abstract:  In this paper, we introduce the Itô-Henstock integral of an operator-valued stochastic process and formulate a version of Itô's formula.
Keywords:  Itô-Henstock integrable function; Itô's formula; $Q$-Wiener process
Classification MSC:  60H30, 60H05


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Affiliations:   Mhelmar A. Labendia, Department of Mathematics & Statistic, Mindanao State University-Iligan Institute of Technology, Andres Bonifacio Avenue, Tibanga, 9200 Iligan City, Philippines, e-mail: mhelmar.labendia@g.msuiit.edu.ph; Timothy Robin Y. Teng, Elvira P. de Lara-Tuprio, Department of Mathematics, School of Science and Engineering, Katipunan Ave, Ateneo de Manila University, 1108 Quezon City, Philippines, e-mail: tteng@ateneo.edu, edelara-tuprio@ateneo.edu


 
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