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1Friedrich-Schiller-Universität, Fakultät für Mathematik and Informatik, Ernst-Abbe-Platz 1-4, 07743 Jena, Germany. E-mail: mittmann@minet.uni-jena.de
2Friedrich-Schiller-Universität, Fakultät für Mathematik and Informatik, Ernst-Abbe-Platz 1-4, 07743 Jena, Germany. E-mail: ingo@minet.uni-jena.de
Citation Information: Georgian Mathematical Journal. Volume 10, Issue 2, Pages 311–317, ISSN (Online) 1072-9176, ISSN (Print) 1072-947X, DOI: 10.1515/GMJ.2003.311, March 2010
We consider vector-valued random fields on a general index set in and show the existence of continuous modifications if some Kolmogorov type condition is satisfied. Furthermore, we prove an extension result for Hölder continuous vector valued mappings.
Key words and phrases:: Continuous modification; vector valued random field; extension of Hölder continuous mappings
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