A THEOREM ON THE CONVERGENCE ALMOST EVERYWHERE OF A SEQUENCE OF MEASURABLE FUNCTIONS, AND ITS APPLICATIONS TO SEQUENCES OF STOCHASTIC INTEGRALS

DOI10.1070/SM1977v033n01ABEH002407zbMath0398.60058MaRDI QIDQ4181738

V. F. Gaposhkin

Publication date: 1977

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

zbMATH Keywords

Stochastic IntegralsHomogeneousStationary ProcessesConvergence Almost Everywhere

Mathematics Subject Classification ID

Gaussian processes (60G15) Stationary stochastic processes (60G10) Strong limit theorems (60F15) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Sample path properties (60G17) Stochastic integrals (60H05)

Related Items (6)

Strong law of large numbers for weakly harmonizable processes ⋮ Oscillation inequalities on real and ergodic \(H^1\) spaces ⋮ On the variation operator for the Ornstein-Uhlenbeck semigroup in dimension one ⋮ Square functions in ergodic theory ⋮ Oscillation in ergodic theory: Higher dimensional results ⋮ Spectral criteria, SLLN's and a.s. convergence of series of stationary variables

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