be found in [@Fed], [@Morgan], [@Simon], [@GMS].

We shall denote the Euclidean norm and scalar product in $\mathbb{R}^{d}$ ($d$ is fixed throughout the paper) by $\left|  \cdot\right|  $ and $\left\langle
\cdot,\cdot\right\rangle $ respectively. We shall also need the space $\Lambda_{2}\mathbb{R}^{d}$ of $2$-vectors, its dual space $\Lambda
^{2}\mathbb{R}^{d}$ of $2$-covectors, and the duality between them, still denoted by $\left\langle \cdot,\cdot\right\rangle $. If we represent vectors and covectors in the standard basis (the summations are extented from $1$ to $d$) $$v=\sum_{i<j}v^{ij}\,e_{i}\wedge e_{j},\qquad w=\sum_{i<j}w_{ij}\,e^{i}\wedge
e^{j}$$ then $$\left\langle w,v\right\rangle =\sum_{i<j}w_{ij}v^{ij}.$$ Notationally, we prefer to write the covectors in the first argument of $\left\langle .,.\right\rangle $ since later on the notation for stochastic integrals is more natural. The norm of $2$-vectors and $2$-covectors is also defined as $$\left|  v\right|  ^{2}=\sum_{i<j}\left(  v^{ij}\right)  ^{2},\qquad\left|
w\right|  ^{2}=\sum_{i<j}\left(  w_{ij}\right)  ^{2}.$$ Notice that for all $v_{1},v_{2}\in\mathbb{R}^{d}$ and $w^{1},w^{2}\in\mathbb{R}^{d}$, the duality between the $2$-vector $$v_{1}\wedge v_{2}=\sum_{i<j}\left[  \left(  v_{1}\right)  _{i}\left(
v_{2}\right)  _{j}-\left(  v_{1}\right)  _{j}\left(  v_{2}\right)
_{i}\right]  \,e_{i}\wedge e_{j}$$ and the $2$-covector $w^{1}\wedge w^{2}$ similarly defined, is given by $$\left\langle w^{1}\wedge w^{2},v_{1}\wedge v_{2}\right\rangle =\det\left(
\left\langle v_{i},w^{j}\right\rangle \right)  .$$ Similarly we have $$\left|  v_{1}\wedge v_{2}\right|  ^{2}=\det\left(  \left\langle v_{i},v_{j}\right\rangle \right)  =\left|  v_{1}\right|  ^{2}\left|  v_{2}\right|
^{2}-\left\langle v_{1},v_{2}\right\rangle ^{2}.$$ Let $\mathcal{D}^{k}$ be the space of all infinitely 