29 citations · 111 across the 16 of their papers we have counts for
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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…
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…
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…
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…