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On the generation of Beurling type Carleman ultradifferentiable $C_0$-semigroups by scalar type spectral operators (1602.07083v3)
Published 23 Feb 2016 in math.FA
Abstract: A characterization of the scalar type spectral generators of Beurling type Carleman ultradifferentiable $C_0$-semigroups is established, the important case of the Gevrey ultradifferentiability is considered in detail, the implementation of the general criterion corresponding to a certain rapidly growing defining sequence is observed.
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