G. Stoica, FUNCTIONAL LAW FOR SOME INFINITE-DIMENSIO NAL PROCESSES GENERATED BY DISCRETE SPECTRUM OPERATORS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 322(8), 1996, pp. 769-772
We obtain a log-type (non iterated) functional law for some infinite d
imensional processes generated by unbounded operators with discrete sp
ectrum. This law typically applies to the Ornstein-Uhlenbeck processes
; the methodology we use in the proof allow us a unitary treatment of
the asymptotyic study of different examples of such processes.