Synthesable differentiation-invariant subspaces
Complex Variables
2018-04-03 v2
Abstract
We describe differentiation-invariant subspaces of which admit spectral synthesis. This gives a complete answer to a question posed by A.~Aleman and B.~Korenblum. It turns out that this problem is related to a classical problem of approximation by polynomials on the real line. We will depict an intriguing connection between these problems and the theory of de Branges spaces.
Keywords
Cite
@article{arxiv.1607.08392,
title = {Synthesable differentiation-invariant subspaces},
author = {Anton Baranov and Yurii Belov},
journal= {arXiv preprint arXiv:1607.08392},
year = {2018}
}
Comments
27 pages, The results of the paper are substantially improved and a complete description of synthesable spectra is obtained