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A Dirichlet problem for distributions and specifications for random fields

Author: Michael Röckner
Publisher: Providence, R.I. : American Mathematical Society, ©1985.
Series: Memoirs of the American Mathematical Society, no. 324.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
We explicitly construct consistent conditional distributions for a large class of Gaussian measures defined on the space of (tempered) distributions on a domain in [italic]D in [italic]I[bold]R[superscript italic]d.
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Michael Röckner
ISBN: 0821823256 9780821823255
OCLC Number: 11574748
Notes: "March 1985, volume 54, number 324 (end of volume)."
Description: v, 76 pages ; 26 cm.
Contents: Introduction --
Self-adjoint harmonic spaces and measures of bounded energy --
The PWB-solution for distributions given an open set with compact boundary --
The PWB-solution for distributions given an arbitrary open set --
Free ([italic]D, [script]H)-measures with Dirichlet conditions and completions of the [lowercase Greek]Sigma-fields --
A Dirichlet problem for distributions --
Prediction problem and construction of specifications --
The Gibbs states.
Series Title: Memoirs of the American Mathematical Society, no. 324.
Responsibility: Michael Röckner.

Abstract:

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