Lindstrøm, Tom, University of York, UK
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Logic and Analysis Vol 1 (2007-8) - Articles
Nonlinear stochastic integrals for hyperfinite Lévy processes
Details 91-129
Journal of Logic and Analysis ISSN: 1759-9008
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Keywords
Algebraic basis, Hamel basis, algebraic dual, dual operator, linear partial differential operator, linear partial differential equation, solvability, existence of a solution, generalized solution, Schwartz distribution
Borel-Cantelli lemma
Erdős–Rényi Theorem
Fourier transform
Gaussian measures
Kochen-Stone theorem
Locally compact abelian group, Pontryagin–van Kampen duality, Fourier transform, nonstandard analysis, hyperfinite, infinitesimal, approximation
MV-algebras
Pontryagin-van Kampen duality
Quantitative analysis
R-trees, model theory, metric structures, continuous logic, real-valued structures, model completion, categoricity, stability
Representation of integers, Internal set theory, Polynomial congruence
Solovay reducibility, Lipschitz continuity, Hölder continuity, computable analysis
Ultrafilters, Ultrapowers, Almost disjoint families, Banach spaces, epsilon-separated sets, Measurable cardinals
factoring of integers, nonstandard analysis, unlimited integers, Dickson’s conjecture
hyperfinite
infinitesimal approximation
local algebras
locally compact abelian group
metastability
nonstandard analysis