Recursive relations for 2-variable weighted shifts
Functional Analysis
2025-07-04 v1
Abstract
In this paper, we outline a method to determine all recursive relations for a subnormal 2-variable weighted shift, up to total degree , entirely from the representing measure. This allows us to show that the densities of the atoms do not affect the recursive relations. We then show that this method can be used to explicitly construct a Gr\"obner basis for the ideal of recursive relations.
Keywords
Cite
@article{arxiv.2507.02163,
title = {Recursive relations for 2-variable weighted shifts},
author = {Edward L. White},
journal= {arXiv preprint arXiv:2507.02163},
year = {2025}
}