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EVA KALLIN'S LEMMA ON POLYNOMIAL CONVEXITY

Published online by Cambridge University Press:  18 April 2001

P. J. DE PAEPE
P. J. DE PAEPE
Affiliation:
Korteweg-de Vries Instituut, Universiteit van Amsterdam, Plantage Muidergracht 24, 1018 TV Amsterdam, The Netherlands; e-mail: depaepe@science.uva.nl
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Abstract

We give a survey on the use of Eva Kallin's lemma. This lemma gives a condition on two polynomially convex sets in [Copf ]n under which their union is polynomially convex. This result has proved to be a useful tool in different areas of complex function theory of several variables, for instance in the study of polynomial convexity of the union of totally real surfaces, and in approximation problems in function algebras.

Type
SURVEY
Information
Bulletin of the London Mathematical Society , Volume 33 , Issue 1 , January 2001 , pp. 1 - 10
Copyright
© The London Mathematical Society 2001

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