A. Kirilov

most citedGlobal and Partial Fourier Series for Denjoy-Carleman Classes on the Torus

1 citations · 1 across the 1 of their papers we have counts for

collaborators

3 papers

math.AP2019★ 1 cited

Global and Partial Fourier Series for Denjoy-Carleman Classes on the Torus

Alexandre Kirilov, Bruno de Lessa Victor

In this work, we develop Fourier Analysis for a family of classes of ultradifferentiable functions of Romieu type on the torus, usually known as Denjoy-Carleman classes. Then we ar…

math.AP2019

Global Hypoellipticity for Strongly Invariant Operators

Alexandre Kirilov, Wagner Augusto Almeida de Moraes

In this note, by analyzing the behavior at infinity of the matrix symbol of an invariant operator $P$ with respect to a fixed elliptic operator, we obtain a necessary and sufficien…

math.AP2018

Global Gevrey hypoellipticity on the torus for a class of systems of complex vector fields

Alexandre Arias Junior, Alexandre Kirilov, Cleber de Medeira

Let $L_{j} = \partial_{t_{j}} + (a_{j} + i b_{j}) (t_{j}) \partial_{x}, j = 1, \dots, n,$ be a system of vector fields defined on the torus $T_{t}^{n} \times T_{x}^{1}$ , where the coe…