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Markov property and cokernels of local operators
Title: | Markov property and cokernels of local operators |
Authors: | Iwata, K. Browse this author | Schäfer, J. Browse this author |
Issue Date: | 1-Mar-1995 |
Publisher: | Department of Mathematics, Hokkaido University |
Journal Title: | Hokkaido University Preprint Series in Mathematics |
Volume: | 283 |
Start Page: | 1 |
End Page: | 17 |
Abstract: | We discuss Gaussian generalized random fields indexed by smooth sections of vector bundles with respect to Markov properties. We propose a new set-up which is suitable for the present question and within which new phenomena are detected naturally. In particular, we give a counterexample to the belief that locality in the RKHS implies germ Markov property. We also prove the close connection between Markov property and cokernels of local operators. Furthermore we prove the Markov property for a very degenerate Gaussian random field. |
Type: | bulletin (article) |
URI: | http://hdl.handle.net/2115/69034 |
Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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