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A Dirichlet problem for distributions and specifications for random fields


About this Title

Michael Röckner

Publication: Memoirs of the American Mathematical Society
Publication Year 1985: Volume 54, Number 324
ISBNs: 978-0-8218-2325-5 (print); 978-1-4704-0737-7 (online)
DOI: http://dx.doi.org/10.1090/memo/0324
MathSciNet review: 782649
MSC (1991): Primary 60G60; Secondary 31C25, 60G20, 81E08

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Table of Contents


Chapters

  • 1. Introduction
  • 2. Self-adjoint harmonic spaces and measures of bounded energy
  • 3. The PWB-solution for distributions given an open set with compact boundary
  • 4. The PWB-solution for distributions given an arbitrary open set
  • 5. Free -measures with Dirichlet conditions and completions of the -fields
  • 6. A Dirichlet problem for distributions
  • 7. Prediction problem and construction of specifications
  • 8. The Gibbs states