Eichinger, B. and Yuditskii, P. (2018) Ahlfors problem for polynomials. Sbornik Mathematics, 209 (3). pp. 320-351. ISSN 1064-5616
Full text not available from this repository.Abstract
We present a conjecture that the asymptotics for Chebyshev polynomials in a complex domain can be given in terms of the reproducing kernels of a suitable Hilbert space of analytic functions in this domain. It is based on two classical results due to Garabedian and Widom. To support this conjecture we study the asymptotics for Ahlfors extremal polynomials in the complement to a system of intervals on R, arcs on T, and the asymptotics of the extremal entire functions for the continuous counterpart of this problem. Bibliography: 35 titles.
Item Type:
Journal Article
Journal or Publication Title:
Sbornik Mathematics
Additional Information:
Publisher Copyright: © 2018 Russian Academy of Sciences (DoM), London Mathematical Society, Turpion Ltd.
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/2600/2601
Subjects:
?? abel-jacobi inversionanalytic capacitychebyshev polynomialcomplex greens and martin functionshyperelliptic riemann surfacereproducing kernel.mathematics (miscellaneous)algebra and number theory ??
Departments:
ID Code:
228503
Deposited By:
Deposited On:
26 Mar 2025 15:15
Refereed?:
Yes
Published?:
Published
Last Modified:
27 Mar 2025 03:20