From spectral theory to bounds on zeros of holomorphic functions. (English) Zbl 1372.30005
Summary: We show how eigenvalue estimates for linear operators can be used to obtain new Blaschke type bounds on zeros of holomorphic functions on the unit disc.
MSC:
| 30C15 | Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) |
| 30H10 | Hardy spaces |
| 47A75 | Eigenvalue problems for linear operators |
