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arXiv · 1603.02840

Tauberian properties for monomial summability with applications to Pfaffian systems

Sergio A. Carrillo·Jorge Mozo-Fernández
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Abstract

In this paper we will show that monomial summability processes with respect to different monomials are not compatible, except in the (trivial) case of a convergent series. We will apply this fact to the study of solutions of Pfaffian systems with normal crossings, focusing in the implications of the complete integrability condition on these systems.

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Sergio A. Carrillo, Jorge Mozo-Fernández. 2016-03-09. Tauberian properties for monomial summability with applications to Pfaffian systems. https://doi.org/10.1016/j.jde.2016.09.017

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