UNIFORM APPROXIMATION BY ENTIRE-FUNCTIONS THAT ARE ALL BOUNDED ON A GIVEN SET

Authors
DANIELYAN AA RUBEL LA
Citation
Aa. Danielyan et La. Rubel, UNIFORM APPROXIMATION BY ENTIRE-FUNCTIONS THAT ARE ALL BOUNDED ON A GIVEN SET, Constructive approximation, 14(4), 1998, pp. 469-473
Citations number
4
Categorie Soggetti
Mathematics,Mathematics
Journal title
Constructive approximation → ACNP
ISSN journal
01764276
Volume
14
Issue
4
Year of publication
1998
Pages
469 - 473
Database
ISI
SICI code
0176-4276(1998)14:4<469:UABETA>2.0.ZU;2-H
Abstract
For two closed sets F and G in the complex plane C, G not equal C, we solve the following problem Under what conditions on F and G can every function f, continuous on F and analytic in its interior, be uniforml y approximated by entire functions, each of which is bounded on G?