59 citations · 398 across the 59 of their papers we have counts for
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Boundedness of Schroedinger type propagators on modulation spaces
Elena Cordero, Fabio Nicola
It is known that Fourier integral operators arising when solving Schrödinger-type operators are bounded on the modulation spaces $\cM^{p,q}$, for , provided th…
Boundedness of Fourier integral operators on Fourier Lebesgue spaces and affine fibrations
Fabio Nicola
We carry on the study of Fourier integral operators of H{ö}rmander's type acting on the spaces , , of compactly supported distributions…
On the global boundedness of Fourier integral operators
Elena Cordero, Fabio Nicola, Luigi Rodino
We consider a class of Fourier integral operators, globally defined on , with symbols and phases satisfying product type estimates (the so-called or scattering…
Slicing surfaces and Fourier restriction conjecture
Fabio Nicola
We deal with the restriction phenomenon for the Fourier transform. We prove that each of the restriction conjectures for the sphere, the paraboloid, the elliptic hyperboloid in $\m…
Sharpness of some properties of Wiener amalgam and modulation spaces
Elena Cordero, Fabio Nicola
We prove sharp estimates for the dilation operator , when acting on Wiener amalgam spaces . Scaling arguments are also used to prove the sharpnes…
Remarks on Fourier multipliers and applications to the Wave equation
Elena Cordero, Fabio Nicola
Exploiting continuity properties of Fourier multipliers on modulation spaces and Wiener amalgam spaces, we study the Cauchy problem for the NLW equation. Local wellposedness for ro…
Boundedness of Fourier Integral Operators on spaces
Elena Cordero, Fabio Nicola, Luigi Rodino
We study the action of Fourier Integral Operators (FIOs) of H{ö}rmander's type on , . We see, from the Beurling-Helson…