Original title unknown
Orlicz space - valued martingales
Ornstein-Metivier-Brunel theorem revisited
Orthogonal decompositions in Hilbert -modules and stationary processes.
Orthogonal polynomial martingales on spheres
Orthogonalité et intégrabilité uniforme de martingales discrètes
Orthogonalité et uniforme intégrabilité de martingales. Étude d'une classe d'exemples
Orthogonality and probability: beyond nearest neighbor transitions.
Orthogonality and probability: mixing times.
Oscillation presque sûre de martingales continues
Oscillations de fonctions aléatoires gaussiennes à valeurs vectorielles.
Outer factorization of operator valued weight functions on the torus
An exact criterion is derived for an operator valued weight function on the torus to have a factorization , where the operator valued Fourier coefficients of Φ vanish outside of the Helson-Lowdenslager halfplane , and Φ is “outer” in a related sense. The criterion is expressed in terms of a regularity condition on the weighted space of vector valued functions on the torus. A logarithmic integrability test is also provided. The factor Φ is explicitly constructed in terms of Toeplitz operators...