3 papers
math.FA2019
On the Commutant of the Generalized Backward Shift Operator in Weighted Spaces of Entire Functions
Olga A. Ivanova, Sergej N. Melikhov
We investigate continuous linear operators, which commute with the generalized backward shift operator (a one-dimensional perturbation of the Pommiez operator) in a countable induc…
math.FA2018
Analytic solutions of convolution equations on convex sets with a mixed structure. I
S. N. Melikhov, L. V. Khanina
We prove an abstract criterion that a surjective convolution operator in spaces of analytic functions on convex subsets of the complex plane has a continuous linear right inverse.…
math.FA2016
On the completeness of orbits of a Pommiez operator in weighted (LF)-spaces of entire functions
Olga A. Ivanova, Sergej N. Melikhov
We describe cyclic vectors for a Pommiez operator on a weighted (LF)-space E of entire functions. The full description is obtained where is the Laplace transform of the strong…