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 Feb 23 awarded Curious Nov 6 awarded Popular Question Feb 2 comment Ito Isometry and quadratic variation Thanks Did ...but I guess you can not apply ito isometry as $t-s$ will not be adapted to $F_s$.Can you clarify this point lastly?Thank you very very much. Feb 1 comment Ito Isometry and quadratic variation Thank you very much Did...But my last doubt is what about applying Ito isometry if the integrand involves "t".For example the same $t^3/3$ result can be got if i apply ito isometry to $\int_0^t(t-s)dW_s$.please clarify ...!! Jan 31 comment Ito Isometry and quadratic variation Then how can one use Ito formula to compute $E(Y_t^2)$ though another method could be given by approximating $W_t$ by some representations in dyadic intervals and then computing the lebesgue integral $\int_0^tW_sds$ and finally taking its square and limit.But I do not want to use this method and instead want to use some trick.Is there any..?? Jan 31 asked Ito Isometry and quadratic variation Dec 6 asked Help regarding a weird Matrix Sep 24 awarded Scholar Sep 24 awarded Supporter Sep 24 accepted Confusion regarding Stochastic integral Sep 22 revised Confusion regarding Stochastic integral added 68 characters in body Sep 22 asked Confusion regarding Stochastic integral Sep 18 awarded Tumbleweed Sep 13 asked Discrete Sobolev Space and Sobolev Spaces of Banach Space valued functions Sep 6 comment Help for Divergence operator Thank you for the reference.In general I need that if $\nabla \cdot q_1 = \nabla \cdot q_2$ on $\Omega$ in $R^2$ then what I can conclude in general about the relationships of $q_1$ and $q_2$.To be more specific I need to find $q_1 \cdot e_i$ if $\nabla \cdot q_1 = 0$ where $e_i$ is the unit normal vector in $R^2$. Sep 6 comment Help for Divergence operator Sorry for my typo error and horrible english.I mean it maps vector valued maps to scalar valued and the curl of a map case in question 2 was for $R^3 (poincare type )$ but , here I need in $R^2$ Sep 6 revised Help for Divergence operator deleted 3 characters in body Sep 6 awarded Editor Sep 6 revised Properties of Eigenfunctions of a Kernel added 67 characters in body Sep 6 asked Properties of Eigenfunctions of a Kernel