29 citations · 111 across the 16 of their papers we have counts for
18 papers
Stability of global wave front sets by perturbations of frames
Chiara Boiti, David Jornet, Alessandro Oliaro
In this paper we consider the Gabor wave front set of ultradistributions in the frame of ultradifferentiable functions. We prove that such a wave front set, defined through a Gabor…
On the compactness of the Weyl operator in
Vicente Asensio, Chiara Boiti, David Jornet +1
We characterize, using time-frequency analysis, the continuity and compactness of the Weyl operator in global classes of ultradifferentiable functions , for weight f…
On the inclusion relations of global ultradifferentiable classes defined by weight matrices
Chiara Boiti, David Jornet, Alessandro Oliaro +1
We study and characterize the inclusion relations of global classes in the general weight matrix framework in terms of growth relations for the defining weight matrices. We conside…
Construction of the log-convex minorant of a sequence
Chiara Boiti, David Jornet, Alessandro Oliaro +1
We give a simple construction of the log-convex minorant of a sequence and consequently extend to the -dimensional case the well-known formula tha…
Mean-dispersion principles and the Wigner transform
Chiara Boiti, David Jornet, Alessandro Oliaro
Given a function , we consider means and variances associated to and its Fourier transform , and explore their relations with the Wigner transform…
Mean ergodic composition operators on spaces of holomorphic functions on a Banach space
David Jornet, Daniel Santacreu, Pablo Sevilla-Peris
We study mean ergodic composition operators on infinite dimensional spaces of holomorphic functions of different types when defined on the unit ball of a Banach or a Hilbert space:…
Nuclear global spaces of ultradifferentiable functions in the matrix weighted setting
Chiara Boiti, David Jornet, Alessandro Oliaro +1
We prove that the Hermite functions are an absolute Schauder basis for many global weighted spaces of ultradifferentiable functions in the matrix weighted setting and we determine…
Mean ergodic composition operators in spaces of homogeneous polynomials
David Jornet, Daniel Santacreu, Pablo Sevilla-Peris
We study some dynamical properties of composition operators defined on the space of -homogeneous polynomials on a Banach space when i…
Nuclearity of rapidly decreasing ultradifferentiable functions and time-frequency analysis
Chiara Boiti, David Jornet, Alessandro Oliaro +1
We use techniques from time-frequency analysis to show that the space of rapidly decreasing -ultradifferentiable functions is nuclear for every weight function $ω…
About the nuclearity of and
Chiara Boiti, David Jornet, Alessandro Oliaro
We use an isomorphism established by Langenbruch between some sequence spaces and weighted spaces of generalized functions to give sufficient conditions for the (Beurling type) spa…
Real Paley-Wiener theorems in spaces of ultradifferentiable functions
Chiara Boiti, David Jornet, Alessandro Oliaro
We develop real Paley-Wiener theorems for classes of ultradifferentiable functions and related -spaces in the spirit of Bang and Andersen for the Schwartz c…
Global pseudodifferential operators of infinite order in classes of ultradifferentiable functions
Vicente Asensio, David Jornet
We develop a theory of pseudodifferential operators of infinite order for the global classes of ultradifferentiable functions in the sense of Björck, following the…
A note on supercyclic operators in locally convex spaces
Angela A. Albanese, David Jornet
We treat some questions related to supercyclicity of continuous linear operators when acting in locally convex spaces. We extend results of Ansari and Bourdon and consider doubly p…
The Gabor wave front set in spaces of ultradifferentiable functions
Chiara Boiti, David Jornet, Alessandro Oliaro
Given a non-quasianalytic subadditive weight function we consider the weighted Schwartz space and the short-time Fourier transform on , $\mathcal…
Regularity of partial differential operators in ultradifferentiable spaces and Wigner type transforms
Chiara Boiti, David Jornet, Alessandro Oliaro
We study the behaviour of linear partial differential operators with polynomial coefficients via a Wigner type transform. In particular, we obtain some results of regularity in the…
A simple proof of Kotake-Narasimhan theorem in some classes of ultradifferentiable functions
Chiara Boiti, David Jornet
We give a simple proof of a general theorem of Kotake-Narasimhan for elliptic operators in the setting of ultradifferentiable functions in the sense of Braun, Meise and Taylor. We…
Mean Ergodic Composition Operators on Banach spaces of holomorphic functions
María José Beltrán, María del Carmen Gómez, Enrique Jordá +1
Given a symbol i.e., a holomorphic endomorphism of the unit disc, we consider the composition operator defined on the Banach spaces of holomorphic functions $…
A characterization of the wave front set defined by the iterates of an operator with constant coefficients
Chiara Boiti, David Jornet
We characterize the wave front set with respect to the iterates of a linear partial differential operator with constant coefficients of a classical distribution $u\i…