29 citations · 100 across the 20 of their papers we have counts for
21 papers
Umbrella theorems for time-frequency representations
Paolo Boggiatto, Chiara Boiti, Alessandro Oliaro
An uncertainty principle due to H.S. Shapiro, the so-called Umbrella Theorem, asserts that there is no square integrable function uniformly dominating all the elements of an orthon…
A Kirchhoff equation with infinite conservation laws
Chiara Boiti, Renato Manfrin
We show here that the quasilinear Kirchhoff-Pokhozhaev equation with , admits conservation laws…
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…
A third-order conservation law for the Kirchhoff-Pokhozhaev equation
Chiara Boiti, Renato Manfrin
We prove that the special Kirchhoff equation studied by Pokhozhaev admits a third-order conservation law. We further show that if the energy of the solution is sufficiently small,…
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…
Notes on a paper of Pokhozhaev
Chiara Boiti, Renato Manfrin
We prove a second order identity for the Kirchhoff equation which yields, in particular, a simple and direct proof of Pokhozhaev's second order conservation law when the nonlineari…
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…
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…
Compactness of localization operators on modulation spaces of -tempered distributions
Chiara Boiti, Antonino De Martino
We give sufficient conditions for compactness of localization operators on modulation spaces of -tempered distributions whose short-tim…
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…
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…
Iterates of systems of operators in spaces of -ultradifferentiable functions
Chiara Boiti, Rachid Chaïli, Tayeb Mahrouz
Given two systems and of linear partial differential operators with constant coefficients, we consider the spaces and $…
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…
The Overdetermined Cauchy Problem for -ultradifferentiable Functions
Chiara Boiti, Elisabetta Gallucci
In this paper we study the Cauchy problem for overdetermined systems of linear partial differential operators with constant coefficients in some spaces of -ultradifferentiable f…
Semilinear p-evolution equations in Sobolev spaces
Alessia Ascanelli, Chiara Boiti
We prove local in time well-posedness in Sobolev spaces of the Cauchy problem for semi-linear p-evolution equations of the first order with real principal part, but complex valued…
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…