Let \(D_{\sigma}=\{z:\) Im \(z_ j>-\sigma\), \(j=1,...,n\}\) be a product of n halfplanes. Here \(\sigma\) is a fixed positive constant. The Hardy class \(H^ 2(D_{\sigma})\) consists of such functions f holomorphic in \(D_{\sigma}\) that \[ \int_{{\mathbb{R}}\quad n}| f(x+iy)|^ 2 dx\leq c, \] where \(x=(x_ 1,...,x_ n)\), \(y=(y_ 1,...,y_ n)\), \(- \sigma -\sigma \}\) without limit points on the boundary of this halfplane. Then the sequence \(M=N_ 1\times...\times N_ n\) is a determining set for functions holomorphic in \(D_{\sigma}\). We want to restore function from \(H^ 2(D_{\sigma})\) from its values on M. The typical result of the paper is as follows. Let \(N_{\ell}=\{x_{\ell j}\}\). For \[ I_ j:=[(x_{\ell p}-\bar x_{\ell j}+2i\sigma)/(u-\bar x_{\ell j}+2i\sigma)] \] take \[ \omega (m,u,p,\ell)=I_ p\cdot \prod^{m}_{j=1,j\neq p}I_ j(u-x_{\ell j})/(x_{\ell p}-x_{\ell j}), \] \(x_ k=(x_{1k_ 1},...,x_{nk_ n})\) where \(k=(k_ 1,...,k_ n)\) is a multiindex. Theorem 1. For any \(f\in H\) \(2(D_{\sigma})\) one has \[ f(z)=\lim_{m\to \infty}\sum^{m}_{k_ 1,...,k_ n=1}f(x_ k)\cdot \prod^{n}_{\ell =1}\omega (m,z_{\ell},k_{\ell},\ell). \]