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

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 generali...

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Bibliographic Details
Published inarXiv.org
Main Authors Jens Gerlach Christensen, Deng, Christopher Benjamin
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 21.06.2022
Subjects
Differential equations
Operators (mathematics)
Principles
Uncertainty principles
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Summary: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.
ISSN:2331-8422