Uniform Approximation by Entire Functions That Are All Bounded on a Given Set

Springer Science and Business Media LLC - Tập 14 - Trang 469-473 - 1998
A. A. Danielyan1, L. A. Rubel2
1Department of Mathematics (Chair 806), Moscow Aviation Institute, RUSSIA
2Institute of Mathematics of the National, Academy of Sciences of Armenia, American University of Armenia, ARMENIA

Tóm tắt

For two closed sets F and G in the complex plane C, G $\neq$ 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 uniformly approximated by entire functions, each of which is bounded on G ?

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Springer Science and Business Media LLC

Tập 14

469-473

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