Itô-Henstock integral and Itô's formula for the operator-valued stochastic process
Mathematica Bohemica, Tome 143 (2018) no. 2, pp. 135-160
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library
In this paper, we introduce the Itô-Henstock integral of an operator-valued stochastic process and formulate a version of Itô's formula.
In this paper, we introduce the Itô-Henstock integral of an operator-valued stochastic process and formulate a version of Itô's formula.
DOI :
10.21136/MB.2017.0084-16
Classification :
60H05, 60H30
Keywords: Itô-Henstock integrable function; Itô's formula; $Q$-Wiener process
Keywords: Itô-Henstock integrable function; Itô's formula; $Q$-Wiener process
@article{10_21136_MB_2017_0084_16,
author = {Labendia, Mhelmar A. and Teng, Timothy Robin Y. and de Lara-Tuprio, Elvira P.},
title = {It\^o-Henstock integral and {It\^o's} formula for the operator-valued stochastic process},
journal = {Mathematica Bohemica},
pages = {135--160},
year = {2018},
volume = {143},
number = {2},
doi = {10.21136/MB.2017.0084-16},
mrnumber = {3831483},
zbl = {06890411},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2017.0084-16/}
}
TY - JOUR AU - Labendia, Mhelmar A. AU - Teng, Timothy Robin Y. AU - de Lara-Tuprio, Elvira P. TI - Itô-Henstock integral and Itô's formula for the operator-valued stochastic process JO - Mathematica Bohemica PY - 2018 SP - 135 EP - 160 VL - 143 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.21136/MB.2017.0084-16/ DO - 10.21136/MB.2017.0084-16 LA - en ID - 10_21136_MB_2017_0084_16 ER -
%0 Journal Article %A Labendia, Mhelmar A. %A Teng, Timothy Robin Y. %A de Lara-Tuprio, Elvira P. %T Itô-Henstock integral and Itô's formula for the operator-valued stochastic process %J Mathematica Bohemica %D 2018 %P 135-160 %V 143 %N 2 %U http://geodesic.mathdoc.fr/articles/10.21136/MB.2017.0084-16/ %R 10.21136/MB.2017.0084-16 %G en %F 10_21136_MB_2017_0084_16
Labendia, Mhelmar A.; Teng, Timothy Robin Y.; de Lara-Tuprio, Elvira P. Itô-Henstock integral and Itô's formula for the operator-valued stochastic process. Mathematica Bohemica, Tome 143 (2018) no. 2, pp. 135-160. doi: 10.21136/MB.2017.0084-16
Cité par Sources :