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arXiv · 1602.07083

On the generation of Beurling type Carleman ultradifferentiable $C_0$-semigroups by scalar type spectral operators

Marat V. Markin
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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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Marat V. Markin. 2016-02-23. On the generation of Beurling type Carleman ultradifferentiable $C_0$-semigroups by scalar type spectral operators. https://arxiv.org/abs/1602.07083

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