Globally solvable complexes of pseudo-differential operators on the torus

Fernando de Ávila Silva; Cleber de Medeira

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arXiv · 2407.03269

Globally solvable complexes of pseudo-differential operators on the torus

Fernando de Ávila Silva·Cleber de Medeira

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Abstract

We consider a complex of pseudo-differential operators associated with an overdetermined system of operators defined on the torus. We characterize the global solvability of this complex when the system has constant coefficients. Furthermore, we establish some connections between the global solvability of the complex and the global solvability of its normal form.

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Fernando de Ávila Silva, Cleber de Medeira. 2024-07-03. Globally solvable complexes of pseudo-differential operators on the torus. https://arxiv.org/abs/2407.03269

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