59 citations · 398 across the 59 of their papers we have counts for
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A Two Dimensional Adler-Manin Trace and Bi-singular Operators
Farzad Fathizadeh, Masoud Khalkhali, Fabio Nicola +1
Motivated by the theory of bi-singular pseudodifferential operators, we introduce a two dimensional version of the Adler-Manin trace. Our construction is rather general in the sens…
Approximation of Fourier Integral Operators by Gabor multipliers
Elena Cordero, Karlheinz Gröchenig, Fabio Nicola
A general principle says that the matrix of a Fourier integral operator with respect to wave packets is concentrated near the curve of propagation. We prove a precise version of th…
Global regularity for ordinary differential operators with polynomial coefficients
Fabio Nicola, Luigi Rodino
For a class of ordinary differential operators with polynomial coefficients, we give a necessary and sufficient condition for to be globally regular in , i.e. $u\in\cS^…
Regularity and decay of solutions of nonlinear harmonic oscillators
Marco Cappiello, Fabio Nicola
We prove sharp analytic regularity and decay at infinity of solutions of variable coefficients nonlinear harmonic oscillators. Namely, we show holomorphic extension to a sector in…