Representing measures in potential theory and an ideal boundary
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Publication:1928886
zbMath1254.28015MaRDI QIDQ1928886
Publication date: 4 January 2013
Published in: Illinois Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.ijm/1348505536
ideal boundaryLoeb measure spacesconstruction of representing measuresnonnegative harmonic functions
Martin boundary theory (31C35) Nonstandard models in mathematics (03H05) Nonstandard measure theory (28E05)
Cites Work
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- A construction of representing measures for elliptic and parabolic differential equations
- Applications of nonstandard analysis to ideal boundaries in potential theory
- A non-standard representation for Brownian motion and Ito integration
- The almost equivalence of pairwise and mutual independence and the duality with exchangeability
- A theory of hyperfinite processes: The complete removal of individual uncertainty via exact LLN
- Sturdy harmonic functions and their integral representations
- Nonstandard analysis in topology: nonstandard and standard compactifications
- An infinitesimal approach to stochastic analysis
- Adapted Probability Distributions
- Conversion from Nonstandard to Standard Measure Spaces and Applications in Probability Theory
- A Generalization of the Riesz-Herglotz Theorem on Representing Measures
- Weak Limits of Measures and the Standard Part Map
- A Nonstandard Characterization of Weak Convergence
- Hyperfinite Law of Large Numbers
- Purification and saturation
- Stochastic Processes Depending on a Continuous Parameter
- Non-standard analysis
