Karpatsʹkì Matematičnì Publìkacìï (Jan 2013)
Operator representation of Gevrey ultradistributions algebra with supports on positive $n$-dimensional angle
Abstract
The representation of convolution Gevrey algebra of ultradistributions as commutant of the $n$-parametric strongly continuous semigroup of shifts in algebra of linear and continuous mappings over the space of ultradifferentiable Gevrey functions with supports on positive $n$-dimensional angle is proved.