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We give a geometric characterization of interpolating varieties for the algebra of Fourier-Laplace transforms of ultradistributions of Roumieu type with compact support on the real line in the non-quasianalytic case. In particular, such a characterization is found in the case of classical Gevrey classes. We also provide a relation between interpolating varieties in this case and in the case of Hörmander algebras related to ultradistributions of Beurling type.

Geometric characterization of interpolation in the space of Fourier–Laplace transforms of ultradistributions of Roumieu type