3 papers
math.FA2020
Invariant subspaces of a generalized backward shift operator and rational functions
Olga A. Ivanova, Sergej N. Melikhov, Yurii N. Melikhov
We obtaine the full characterization of proper closed invariant subspaces of a generalized backward shift operator (Pommiez operator) in the Frechet space of all holomorphic functi…
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.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…