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We derive the Fourier expansion of scalar-valued Eisenstein series for O(2,n+2) using classical methods of Siegel, Braun, Zagier, Bruinier and others. Weassume that the underlying lattice splits two hyperbolic planes. Finally weprove for the Eisenstein series at the standard cusp that they belong to theMaass space for O(2, n + 2), an analogue of the "Spezialschar" for Siegelmodular forms introduced by Maass, at least at all local places p, where thelocalization of the underlying lattice is maximal.

Fourier coefficients of Eisenstein series for $O^+(2, n + 2)$