# Operator representation of Gevrey ultradistributions algebra with supports on positive $n$-dimensional angle

## Keywords:

ultradifferentiable function, Gevrey ultradistribution, strongly continuous semigroup, convolution algebra
Published online:
2009-12-30

### 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.

How to Cite

(1)

Solomko, A. Operator Representation of Gevrey Ultradistributions Algebra With Supports on Positive $n$-Dimensional Angle.

*Carpathian Math. Publ.***2009**,*1*, 197-206.