Email this article On Invariant Subspaces of the Pommiez Operator in the Spaces of Entire Functions of Exponential Type
- Authors: Ivanova O.A.1, Melikhov S.N.1,2
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Affiliations:
- Southern Federal University
- Southern Mathematical Institute of the Vladikavkaz Scientific Center of the Russian Academy of Sciences
- Issue: Vol 241, No 6 (2019)
- Pages: 760-769
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242941
- DOI: https://doi.org/10.1007/s10958-019-04461-0
- ID: 242941
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Abstract
We describe closed invariant eigenspaces of the Pommmiez operator in the (LF)-space of entire functions of exponential type. This space is topologically equivalent (by means of the Laplace transform) to the strong dual space of all germs of functions that are analytic on a convex, locally closed subset of the complex plane.
About the authors
O. A. Ivanova
Southern Federal University
Author for correspondence.
Email: ivolga@sfedu.ru
Russian Federation, Rostov-on-Don
S. N. Melikhov
Southern Federal University; Southern Mathematical Institute of the Vladikavkaz Scientific Center of the Russian Academy of Sciences
Email: ivolga@sfedu.ru
Russian Federation, Rostov-on-Don; Vladikavkaz
