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In this paper we consider the question of sampling for spaces entire functions exponential type in several variables. The novelty resides growth condition impose, that is, their restriction to a hypersurface is square integrable with respect natural measure. boundary $b\mathcal U$ Siegel upper half-space $\mathcal and it fundamental can be identified Heisenberg group $\mathbb H_n$. We C^{n+1}$ whose are Haar measure on For these prove version Whittaker--Kotelnikov--Shannon Theorem. Instrumental our work restrictions belong some homogeneous Sobolev space spaces, using Fourier transform H_n$, Paley--Wiener theorem Plancherel--P\'olya inequality.