Spring 2019 A descriptive definition of the Itô-Henstock integral for the operator-valued stochastic process
Mhelmar A‎. ‎Labendia, Jayrold P‎. ‎Arcede
Adv. Oper. Theory 4(2): 406-418 (Spring 2019). DOI: 10.15352/aot.1808-1406

Abstract

‎In this paper‎, ‎we formulate a version of Fundamental Theorem for the Itô-Henstock integral of an operator-valued stochastic process with respect to a Hilbert space-valued Wiener process‎. ‎This theorem will give a descriptive definition of the Itô-Henstock integral for the operator-valued stochastic process‎.

Citation

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Mhelmar A‎. ‎Labendia. Jayrold P‎. ‎Arcede. "A descriptive definition of the Itô-Henstock integral for the operator-valued stochastic process." Adv. Oper. Theory 4 (2) 406 - 418, Spring 2019. https://doi.org/10.15352/aot.1808-1406

Information

Received: 14 August 2018; Accepted: 24 September 2018; Published: Spring 2019
First available in Project Euclid: 1 December 2018

zbMATH: 07009316
MathSciNet: MR3883143
Digital Object Identifier: 10.15352/aot.1808-1406

Subjects:
Primary: 60H30
Secondary: 60H05

Keywords: ‎$Q$-Wiener process‎ , Itô-Henstock integral‎‎ , ‎orthogonal increment property

Rights: Copyright © 2019 Tusi Mathematical Research Group

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Vol.4 • No. 2 • Spring 2019
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