|
Zapiski Nauchnykh Seminarov POMI, 2001, Volume 282, Pages 26–33
(Mi znsl1504)
|
|
|
|
This article is cited in 1 scientific paper (total in 1 paper)
On the zeros of the derivative of a rational function and coinvariant subspaces for the shift operator on the Bergman space
I. V. Videnskii Saint-Petersburg State Electrotechnical University
Abstract:
If all $n$ $(n>1)$ zeros of a rational function $r$ with simple poles are in a half-plane, then the derivative of $r$ has at least one zero in the same half-plane. This result is used to prove that the number of zeros of a linear combination of $n$ Bergman kernels in the unit disc may range from 0 to $2n-3$.
Received: 22.10.2001
Citation:
I. V. Videnskii, “On the zeros of the derivative of a rational function and coinvariant subspaces for the shift operator on the Bergman space”, Investigations on linear operators and function theory. Part 29, Zap. Nauchn. Sem. POMI, 282, POMI, St. Petersburg, 2001, 26–33; J. Math. Sci. (N. Y.), 120:5 (2004), 1657–1661
Linking options:
https://www.mathnet.ru/eng/znsl1504 https://www.mathnet.ru/eng/znsl/v282/p26
|
Statistics & downloads: |
Abstract page: | 176 | Full-text PDF : | 158 |
|