Add to ORKGIn 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-Carleman classes. In this setting, as applications, we extend the Greenfield-Wallach Theorem and, through a conjugation, we characterize global hypoellipticity for a class of systems of real vector fields of tube type
In this paper we give a global characterisation of classes of ultradifferentiable functions and corr...
Abstract: In this paper we introduce the hermitean ultradistributions by a duality argument. The met...
We develop real Paley-Wiener theorems for classes Sω of ultradifferentiable functions and related Lp...
Denjoy-Carleman classes are spaces of smooth functions which satisfy growth conditions on their deri...
Nesse trabalho estudamos as classes de Gevrey e as ultradistribuições em grupos de Lie compactos, qu...
AbstractThe inhomogeneous Gevrey classes, defined in terms of Fourier transform, are a natural exten...
none1noIn this paper we prove that a global $omega$-hypoelliptic vector field on the torus $T^n$ can...
We study $\omega$-regularity of the solutions of certain operators that are globally $C^\infty$-hypo...
The inhomogeneous Gevrey classes, defined in terms of Fourier transform, are a natural extension of ...
The Denjoy-Carleman classes are spaces of smooth functions which satisfy growth conditions on their ...
An abstract theory of Fourier series in locally convex topological vector spaces is developed. An an...
The Denjoy-Carleman classes are spaces of smooth functions which satisfy growth conditions on their ...
This paper concerns perturbations of smooth vector fields on Tn (constant if n ≥ 3) with zeroth-orde...
The main goal of this text is to present the theoretical foundation of the field of Fourier analysis...
summary:In this paper we define, by duality methods, a space of ultradistributions $\G _\omega ' (\B...
In this paper we give a global characterisation of classes of ultradifferentiable functions and corr...
Abstract: In this paper we introduce the hermitean ultradistributions by a duality argument. The met...
We develop real Paley-Wiener theorems for classes Sω of ultradifferentiable functions and related Lp...
Denjoy-Carleman classes are spaces of smooth functions which satisfy growth conditions on their deri...
Nesse trabalho estudamos as classes de Gevrey e as ultradistribuições em grupos de Lie compactos, qu...
AbstractThe inhomogeneous Gevrey classes, defined in terms of Fourier transform, are a natural exten...
none1noIn this paper we prove that a global $omega$-hypoelliptic vector field on the torus $T^n$ can...
We study $\omega$-regularity of the solutions of certain operators that are globally $C^\infty$-hypo...
The inhomogeneous Gevrey classes, defined in terms of Fourier transform, are a natural extension of ...
The Denjoy-Carleman classes are spaces of smooth functions which satisfy growth conditions on their ...
An abstract theory of Fourier series in locally convex topological vector spaces is developed. An an...
The Denjoy-Carleman classes are spaces of smooth functions which satisfy growth conditions on their ...
This paper concerns perturbations of smooth vector fields on Tn (constant if n ≥ 3) with zeroth-orde...
The main goal of this text is to present the theoretical foundation of the field of Fourier analysis...
summary:In this paper we define, by duality methods, a space of ultradistributions $\G _\omega ' (\B...
In this paper we give a global characterisation of classes of ultradifferentiable functions and corr...
Abstract: In this paper we introduce the hermitean ultradistributions by a duality argument. The met...
We develop real Paley-Wiener theorems for classes Sω of ultradifferentiable functions and related Lp...