Complex approximation for vector-valued functions with an application to boundary behaviour
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- by Leon Brown, P. M. Gauthier and W. Seidel PDF
- Trans. Amer. Math. Soc. 191 (1974), 149-163 Request permission
Abstract:
This paper deals with the qualitative theory of uniform approximation by holomorphic functions. The first theorem is an extension to vector-valued mappings of N. U. Arakélian’s theorem on uniform holomorphic approximation on closed sets. Our second theorem is on asymptotic approximation and yields, as in the scalar case, applications to cluster sets.References
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Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 191 (1974), 149-163
- MSC: Primary 30A82
- DOI: https://doi.org/10.1090/S0002-9947-1974-0342707-X
- MathSciNet review: 0342707