In this paper we consider a class of evolution operators with coefficients depending on time
and space variables (t, x)∈ T× R n, where T is the one-dimensional torus, and prove …

Let L j=∂ t j+(a j+ ibj)(tj)∂ x, j= 1,…, n, be a system of vector fields defined on the torus T tn×
T x 1, where the coefficients aj and bj are real-valued functions belonging to the Gevrey …

Given M a compact, connected and orientable, real-analytic manifold, and closed, real-
valued, real-analytic 1-forms ω 1,…, ω m on M, we characterize the global analytic …

In the present article, we develop Fourier series for a family of classes of Romieu type of
ultradifferentiable functions and ultradistributions on the torus, usually known as Denjoy …

We introduce a class of time-periodic Gelfand-Shilov spaces of functions on T× R n, where
T∼ R/2 π Z is the one-dimensional torus. We develop a Fourier analysis inspired by the …

Let M be a compact, connected, orientable and real-analytic manifold; consider closed, real-
valued, real-analytic 1-forms ω 1,…, ω m on M and the differential complex over M× T m …

In this paper we consider a class of evolution operators with coefficients depending on time
and space variables (t, x)∈ T× Rn, where T is the one-dimensional torus, and prove …

This paper deals with Gevrey global solvability on the N-dimensional torus (TN≃ RN/2 π ZN)
to a class of nonlinear first order partial differential equations in the form L u-au-bu¯= f …

In this paper, we characterize completely the global hypoellipticity and global solvability in
the sense of Komatsu (of Roumieu and Beurling types) of constant-coefficient vector fields …

We consider a class of first-order partial differential operators, acting on the space of
ultradifferentiable periodic functions, and we describe their range by using the following …