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...
Saved in:
Published in | arXiv.org |
---|---|
Main Authors | , |
Format | Paper |
Language | English |
Published |
Ithaca
Cornell University Library, arXiv.org
21.06.2022
|
Subjects | |
Online Access | Get full text |
Cover
Loading…
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 |