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

A. V. Solomko

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.

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