3 citations · 3 across the 6 of their papers we have counts for
6 papers
Anisotropic Shubin operators and eigenfunctions expansions in Gelfand-Shilov spaces
Marco Cappiello, Todor Gramchev, Stevan Pilipovic +1
We derive new results on the characterization of Gelfand--Shilov spaces , , by Gevrey estimates of the norms of iterates of …
Semilinear pseudodifferential equations in spaces of tempered ultradistributions
Marco Cappiello, Stevan Pilipovic, Bojan Prangoski
We study a class of semilinear elliptic equations on spaces of tempered ultradistributions of Beurling and Roumieu type. Assuming that the linear part of the equation is an ellipti…
Parametrices and hypoellipticity for pseudodifferential operators on spaces of tempered ultraditributions
Marco Cappiello, Stevan Pilipovic, Bojan Prangoski
We construct parametrices for a class of pseudodifferential operators of infinite order acting on spaces of tempered ultradistributions of Beurling and Roumieu type. As a consequen…
Some remarks on the radius of spatial analyticity for the Euler equations
Marco Cappiello, Fabio Nicola
We consider the Euler equations on with analytic data and prove lower bounds for the radius of spatial analyticity of the solution using a new method based on…
Radial symmetric elements and the Bargmann transform
Marco Cappiello, Luigi Rodino, Joachim Toft
We prove that a function or distribution on $\rr d$ is radial symmetric, if and only if its Bargmann transform is a composition by an entire function on and the canonic…
Decay estimates for solutions of nonlocal semilinear equations
Marco Cappiello, Todor Gramchev, Luigi Rodino
We investigate the decay for of weak Sobolev type solutions of semilinear nonlocal equations . We consider the case when is an elliptic Fo…