6 papers
Bilinear pseudo-differential operators with Gevrey-Hörmander symbols
Ahmed Abdeljawad, Sandro Coriasco, Nenad Teofanov
We consider bilinear pseudo-differential operators whose symbols posses Gevrey type regularity and may have a sub-exponential growth at infinity, together with all their derivative…
Characterizations of a class of Pilipovi{ć} spaces by powers of harmonic oscillator
Ahmed Abdeljawad, Carmen Fernandez, Antonio Galbis +2
We show that a smooth function on belongs to the Pilipovi{ć} space or the Pilipovi{ć} space $\mathcal H_{0,\flat _σ}(\mathbf…
Deterministic and Stochastic Cauchy problems for a class of weakly hyperbolic operators on R^n
Ahmed Abdeljawad, Alessia Ascanelli, Sandro Coriasco
We study a class of hyperbolic Cauchy problems, associated with linear operators and systems with polynomially bounded coefficients, variable multiplicities and involutive characte…
Anisotropic Gevrey-Hörmander pseudo-differential operators on modulation spaces
Ahmed Abdeljawad, Joachim Toft
We show continuity properties for the pseudo-differential operator from to , for fixed , $ω,ω_0\in \mathsc…
Pseudo-differential calculus in anisotropic Gelfand-Shilov setting
Ahmed Abdeljawad, Marco Cappiello, Joachim Toft
We study some classes of pseudo-differential operators with symbols admitting anisotropic exponential growth at infinity and we prove mapping properties for these operators on…
Liftings for ultra-modulation spaces, and one-parameter groups of Gevrey type pseudo-differential operators
Ahmed Abdeljawad, Sandro Coriasco, Joachim Toft
We deduce one-parameter group properties for pseudo-differential operators , where belongs to the class of certain Gevrey symbols. We use t…