A note on stochastic integrals as L2-curves
In a work of van Gaans (2005a) stochastic integrals are regarded as L2-curves. In the paper Filipovic and Tappe (2008) we have shown the connection to the usual Itô-integral for càdlàg-integrands. The goal of this note is to complete this result and to provide the full connection to the Itô-integral. We also sketch an application to stochastic partial differential equations.
| Year of publication: |
2010
|
|---|---|
| Authors: | Tappe, Stefan |
| Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 80.2010, 13-14, p. 1141-1145
|
| Publisher: |
Elsevier |
| Keywords: | Stochastic integrals L2-curves Connection to the Ito-integral Stochastic partial differential equations |
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