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Uniform Approximation by Meromorphic Functions on Closed Sets with Continuous extension into the Boundary

Published online by Cambridge University Press:  20 November 2018

Alice Roth
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Notation. For S a subset of the extended plane C* = C ∪ (∞ ) let S0 be its interior, its closure in C* and its boundary. H(S) and M(S) will denote the sets of all restrictions to S of functions which are, on a neighborhood of S, holomorphic or meromorphic, respectively. A (S) will stand for the set of functions from S to C* which are continuous on S and whose restriction to S° are holomorphic.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 30 , Issue 6 , 01 December 1978 , pp. 1243 - 1255
Copyright
Copyright © Canadian Mathematical Society 1978

References

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