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On the Existence of Continuous Modifications of Vector-Valued Random Fields

  • Katrin Mittmann and Ingo Steinwart
Published/Copyright: March 3, 2010
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Georgian Mathematical Journal
From the journal Volume 10 Issue 2

Abstract

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.

Received: 2002-07-03
Published Online: 2010-03-03
Published in Print: 2003-June

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