Geodesic
Absolute continuity of the images of measures
Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part IX, Tome 142 (1985), pp. 48-54 
Yu. A. Davydov. Absolute continuity of the images of measures. Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part IX, Tome 142 (1985), pp. 48-54. http://geodesic.mathdoc.fr/item/ZNSL_1985_142_a3/
@article{ZNSL_1985_142_a3,
     author = {Yu. A. Davydov},
     title = {Absolute continuity of the images of measures},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {48--54},
     year = {1985},
     volume = {142},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1985_142_a3/}
}
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One presents a new method for isolating conditions for the absolute continuity of distributions of functionals of random processes. The obtained general result is applied to the investigation of integral functionals of stationary processes, to the supremum of semistable processes, and to the norm of stable Banach-valued vectors.