ON THE EXISTENCE OF CONTINUOUS MODIFICATIONS OF VECTOR-VALUED RANDOM FIELDS

@inproceedings{Mittmann2003ONTE,
  title={ON THE EXISTENCE OF CONTINUOUS MODIFICATIONS OF VECTOR-VALUED RANDOM FIELDS},
  author={Katrin Dr. Mittmann and Ingo Steinwart},
  year={2003}
}
We consider vector-valued random fields on a general index set in R d and show the existence of continuous modifications if some Kolmogorov type condition is satisfied. Furthermore, we prove an extension result for Holder continuous vector valued mappings. 

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