Representation of Conditional Expectations in Gaussian Analysis on Sequence Spaces

Details Representation of Conditional Expectations in Gaussian Analysis on Sequence Spaces Representation of Conditional Expectations in Gaussian Analysis on Sequence Spaces

2011-06-05

arxiv.org/abs/1106.0906v2

Mathematics

Functional Analysis

43 pages, Diploma Thesis, minor corrections

Scientific paper

From a given nuclear triplet we construct a nuclear triplet of sequence
spaces and introduce a correlated Gaussian measure via the Bochner-Minlos
theorem. Considering special types of correlation operators on such sequence
spaces, certain conditional expectations can be given in an explicit way.

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