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

Piotr Zioło

• 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.