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.

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