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An Example in Tangential Meromorphic Approximation

✍ Scribed by A. Boivin; A.H. Nersessian

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
370 KB
Volume
87
Category
Article
ISSN
0021-9045

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✦ Synopsis

It is known that all sets of meromorphic uniform approximation in C which satisfy an additional condition involving the Gleason parts of the algebra R(K) are then also sets of tangential approximation by meromorphic functions. In this paper, we construct a set which, although it is a set of tangential approximation, does not satisfy this extra condition on parts and, thus, showing that the condition fails to be necessary. Finding a complete characterization of sets of meromorphic tangential approximation is still an open problem.

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