1. CMB 2007 (vol 50 pp. 123)
|Simultaneous Approximation and Interpolation on Arakelian Sets |
We extend results of P.~M. Gauthier, W. Hengartner and A.~A. Nersesyan on simultaneous approximation and interpolation on Arakelian sets.
Keywords:Arakelian's theorem,, Arakelian sets
2. CMB 2001 (vol 44 pp. 420)
|Approximation by Meromorphic Functions With Mittag-Leffler Type Constraints |
Functions defined on closed sets are simultaneously approximated and interpolated by meromorphic functions with prescribed poles and zeros outside the set of approximation.
Categories:30D30, 30E10, 30E15
3. CMB 1998 (vol 41 pp. 473)
|Separating singularities of holomorphic functions |
We present a short proof for a classical result on separating singularities of holomorphic functions. The proof is based on the open mapping theorem and the fusion lemma of Roth, which is a basic tool in complex approximation theory. The same method yields similar separation results for other classes of functions.