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Publication Date:
July 2005
ISSN:
1435-5345
DOI:
10.1515/crll.2005.2005.582.41

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Journal für die reine und angewandte Mathematik

Managing Editor: Weissauer, Rainer

Ed. by Colding, Tobias / Cuntz, Joachim / Huybrechts, Daniel / Hwang, Jun-Muk

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Coherent analytic sets and composition of real analytic functions

P. Domański1 / M. Langenbruch2

1.

2.

Citation Information: Journal für die reine und angewandte Mathematik. Volume 2005, Issue 582, Pages 41–59, ISSN (Online) 1435-5345, ISSN (Print) 0075-4102, DOI: 10.1515/crll.2005.2005.582.41, July 2005

Publication History:
Received:
5. Dezember 2003
Published Online:
2005-07-27

Abstract

We give some necessary and some sufficient conditions for composition operators on spaces of real analytic functions to have closed range and to be open onto their ranges. We also prove sequential density of polynomials in the space of real analytic functions over an arbitrary compact subset of ℝd.

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