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

Array

Authors

  • A.V. Solomko Vasyl Stefanyk Precarpathian National University, 57 Shevchenka str., 76018, Ivano-Frankivsk, Ukraine

Keywords:

ultradifferentiable function, Gevrey ultradistribution, strongly continuous semigroup, convolution algebra

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.

Published

2009-12-30

How to Cite

(1)
Solomko, A. Operator Representation of Gevrey Ultradistributions Algebra With Supports on Positive $n$-Dimensional Angle: Array. Carpathian Math. Publ. 2009, 1, 197-206.

Issue

Section

Scientific articles

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