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arXiv · 2206.10568

Uncertainty principles and differential operators on the weighted {B}ergman space

Jens Gerlach Christensen·Christopher Benjamin Deng
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Abstract

We classify self-adjoint first-order differential operators on weighted Bergman spaces on the unit disc and answer questions related to uncertainty principles for such operators. Our main tools are the discrete series representations of $\mathrm{SU}(1,1)$. This approach has the promise to generalize to other bounded symmetric domains.

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Jens Gerlach Christensen, Christopher Benjamin Deng. 2022-06-21. Uncertainty principles and differential operators on the weighted {B}ergman space. https://arxiv.org/abs/2206.10568

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