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Results 1 - 3 of 3 |
1. CMB 2007 (vol 50 pp. 123)
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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 Category:30E10 |
2. CMB 2001 (vol 44 pp. 420)
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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)
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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.
Categories:30E99, 30E10 |