29 citations · 152 across the 28 of their papers we have counts for
6 papers · 1 filter
Global properties of vector fields on compact Lie groups in Komatsu classes. II. Normal forms
Alexandre Kirilov, Wagner Augusto Almeida de Moraes, Michael Ruzhansky
Let and be compact Lie groups, , and consider the operator \begin{equation*} L_{aq} = X_1 + a(x_1)X_2 + q(x_1,x_2), \en…
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…
Global properties of vector fields on compact Lie groups in Komatsu classes
Alexandre Kirilov, Wagner Augusto Almeida de Moraes, Michael Ruzhansky
In this paper we characterize completely the global hypoellipticity and global solvability in the sense of Komatsu (of Roumieu and Beurling types) of constant-coefficients vector f…
Global hypoellipticity and global solvability for vector fields on compact Lie groups
Alexandre Kirilov, Wagner Augusto Almeida de Moraes, Michael Ruzhansky
We present necessary and sufficient conditions to have global hypoellipticity and global solvability for a class of vector fields defined on a product of compact Lie groups. In vie…
Partial Fourier series on compact Lie groups
Alexandre Kirilov, Wagner Augusto Almeida de Moraes, Michael Ruzhansky
In this note we investigate the partial Fourier series on a product of two compact Lie groups. We give necessary and sufficient conditions for a sequence of partial Fourier coeffic…
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 with respect to a fixed elliptic operator, we obtain a necessary and sufficien…