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On an algebra of analytic functionals connected with a Pommiez operator
Vladikavkazskij matematičeskij žurnal, Tome 18 (2016) no. 4, pp. 34-40 Cet article a éte moissonné depuis la source Math-Net.Ru

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We study properties of a convolution algebra formed by the dual $E'$ of a countable inductive limit $E$ of weighted Fréchet spaces of entire funtions of one complex variable with the multiplication-convolution $\otimes$ which is defined with the help of the shift operator for a Pommiez operator. The algebra $(E',\otimes)$ is isomorphic to the commutant of a Pommiez operator in the ring of all continuous linear operators in $E$. We prove that this isomorphism is topological if $E'$ is endowed with the weak topology and the corresponding commutant is endowed with the weakly operator topology. This result we use for powers of a Pommiez operator series expansions for all continuous linear operators commuting with this Pommiez operator on $E$. We describe also all nonzero multiplicative functionals on the algebra $(E',\otimes)$. 
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O. A. Ivanova; S. N. Melikhov. On an algebra of analytic functionals connected with a Pommiez operator. Vladikavkazskij matematičeskij žurnal, Tome 18 (2016) no. 4, pp. 34-40. http://geodesic.mathdoc.fr/item/VMJ_2016_18_4_a3/

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