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Physical Applications of the Ergodic Hypothesis. [PDF]

Proc Natl Acad Sci U S A, 1932
Neumann JV.
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Conditions for Egoroff's theorem in non-additive measure theory

Conditions for Egoroff's theorem in non-additive measure theory
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A new necessary and sufficient condition for the Egoroff theorem in non-additive measure theory

A new necessary and sufficient condition for the Egoroff theorem in non-additive measure theory
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New conditions for the Egoroff theorem in non-additive measure theory

New conditions for the Egoroff theorem in non-additive measure theory
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ON MEASURE SPACES WHERE EGOROFF'S THEOREM HOLDS

Real Analysis Exchange, 1994
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Frullani integrals and variants of the Egoroff theorem on essentially uniform convergence

, 1954
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ON EGOROFF'S THEOREM FOR NON-ADDITIVE MULTI MEASURES (Nonlinear Analysis and Convex Analysis)

ON EGOROFF'S THEOREM FOR NON-ADDITIVE MULTI MEASURES (Nonlinear Analysis and Convex Analysis)
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A new necessary and sufficient condition for the Egoroff theorem in non-additive measure theory (Mathematics for Uncertainty and Fuzziness)

A new necessary and sufficient condition for the Egoroff theorem in non-additive measure theory (Mathematics for Uncertainty and Fuzziness)
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Ideal generalizations of Egoroff’s theorem

Archive for Mathematical Logic, 2020
We investigate the classes of ideals for which the Egoroff’s theorem or the generalized Egoroff’s theorem holds between ideal versions of pointwise and uniform convergences. The paper is motivated by considerations of Korch (Real Anal Exchange 42(2):269–282, 2017).
Miroslav Repický
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Egoroff’s theorem and Lusin’s theorem for complex uncertain sequences

Journal of Intelligent and Fuzzy Systems, 2022
Complex uncertain variables are measurable functions from uncertainty spaces to the set of complex numbers and are used to model complex uncertain quantities. In this paper, we investigate Egoroff’s theorem and Lusin’s theorem for complex uncertain sequences. For studying these theorems, we introduce two concepts: strongly order continuous and regular.
Feng Hu, Zhaojun Zong
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