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arXiv · 2507.02163

Recursive relations for 2-variable weighted shifts

Edward L. White
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Abstract

In this paper, we outline a method to determine all recursive relations for a subnormal 2-variable weighted shift, up to total degree $k$, 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.

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Edward L. White. 2025-07-02. Recursive relations for 2-variable weighted shifts. https://arxiv.org/abs/2507.02163

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