The moment problem on the Wiener space
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Publication:2468511
DOI10.1016/j.bulsci.2007.01.002zbMath1132.28007arXivmath/0604211OpenAlexW2054904246WikidataQ57543009 ScholiaQ57543009MaRDI QIDQ2468511
Frederik S. Herzberg, Sergio A. Albeverio
Publication date: 24 January 2008
Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0604211
Brownian motion (60J65) Moment problems (44A60) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Nonstandard models in mathematics (03H05) Nonstandard measure theory (28E05)
Related Items (2)
Moment problem in infinitely many variables ⋮ The allure of infinitesimals: Sergio Albeverio and nonstandard analysis
Cites Work
- Foundations of infinitesimal stochastic analysis
- The \(K\)-moment problem for compact semi-algebraic sets
- A non-standard representation for Brownian motion and Ito integration
- Positivity, sums of squares and the multi-dimensional moment problem
- An infinitesimal approach to stochastic analysis
- Nonstandard Construction of the Stochastic Integral and Applications to Stochastic Differential Equations.I
- Adapted Probability Distributions
- Conversion from Nonstandard to Standard Measure Spaces and Applications in Probability Theory
- A definable nonstandard model of the reals
- A definable nonstandard enlargement
- Positivity, sums of squares and the multi-dimensional moment problem II
- Positive polynomials and tame preorderings
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