Analog of the Carleman formula in the future tube

An analogue of the Carleman formula reconstructing values of the function F(z) such that $\frac{F(z)}{[(z++{\mathbf i})^2]^{4/p}}\in H^p(\tau^+)$, holomorphic in the tube domain over the future light cone $\tau^+\subset\mathbb C^4$, by given values of $F(z)$ on a set $L$ of positive measure which lies on the distinguished boundary of the domain $\tau^+$, i. e. $L\subset\mathbb R^4$, $m_4(L)>0$, is obtained.