Claudio Mele

activity

20202025

collaborators

8 papers

math.FA2025

Spectral and ergodic properties of the operator $B (r, s)$ over power series spaces $Λ_{\infty} (α)$ of infinite type and their duals

Angela A. Albanese, Claudio Mele

In this paper, we investigate the spectral and ergodic properties of the linear operator $B (r, s)$ acting on power series spaces $Λ_{\infty} (α)$ of infinite type and on their strong d…

math.FA2024

Mutual estimates of time-frequency representations and uncertainty principles

Angela A. Albanese, Claudio Mele, Alessandro Oliaro

In this paper we give different estimates between Lebesgue norms of quadratic time-frequency representations. We show that, in some cases, it is not possible to have such bounds in…

math.FA2022

Multiplication and convolution topological algebras in spaces of $ω$ -ultradifferentiable functions of Beurling type

Angela A. Albanese, Claudio Mele

We determine multiplication and convolution topological algebras for classes of $ω$ -ultradifferentiable functions of Beurling type. Hypocontinuity and discontinuity of the multipli…

math.FA2021

Dynamics of composition operators on function spaces defined by local and global properties

Angela A. Albanese, Enrique Jordá, Claudio Mele

In this paper we consider composition operators on locally convex spaces of functions defined on $R$ . We prove results concerning supercyclicity, power boundedness, mean e…

math.FA2021

Spectra and ergodic properties of multiplication and convolution operators on the space $S (R)$

Angela A. Albanese, Claudio Mele

In this paper we investigate the spectra and the ergodic properties of the multiplication operators and the convolution operators acting on the Schwartz space $\mathcal{S}(\mathbb{…

math.FA2020

Convolutors on $S_{ω} (R^{N})$

Angela A. Albanese, Claudio Mele

In this paper we continue the study of the spaces $O_{M, ω} (R^{N})$ and $O_{C, ω} (R^{N})$ undertaken in [1]. We determine new representations of suc…

math.AP2020

Regularity of global solutions of partial differential equations in non isotropic ultradifferentiable spaces via time-frequency methods

Claudio Mele, Alessandro Oliaro

In this paper we study regularity of partial differential equations with polynomial coefficients in non isotropic Beurling spaces of ultradifferentiable functions of global type. W…

math.FA2020

Multipliers on $S_{ω} (R^{N})$

Angela A. Albanese, Claudio Mele

The aim of this paper is to introduce and to study the space $O_{M, ω} (R^{N})$ of the multipliers of the space $S_{ω} (R^{N})$ of the $ω$ -ultradiffere…

Spectral and ergodic properties of the operator B(r,s) over power series spaces Λ∞​(α) of infinite type and their duals

Mutual estimates of time-frequency representations and uncertainty principles

Multiplication and convolution topological algebras in spaces of ω-ultradifferentiable functions of Beurling type

Dynamics of composition operators on function spaces defined by local and global properties

Spectra and ergodic properties of multiplication and convolution operators on the space S(R)

Convolutors on Sω​(RN)

Regularity of global solutions of partial differential equations in non isotropic ultradifferentiable spaces via time-frequency methods

Multipliers on Sω​(RN)

Spectral and ergodic properties of the operator $B (r, s)$ over power series spaces $Λ_{\infty} (α)$ of infinite type and their duals

Multiplication and convolution topological algebras in spaces of $ω$ -ultradifferentiable functions of Beurling type

Spectra and ergodic properties of multiplication and convolution operators on the space $S (R)$

Convolutors on $S_{ω} (R^{N})$

Multipliers on $S_{ω} (R^{N})$