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Nonlinear Transformations of Smooth Measures on Infinite-Dimensional Spaces

We investigate the properties of the image of a differentiable measure on an infinitely-dimensional Banach space under nonlinear transformations of the space. We prove a general result concerning the absolute continuity of this image with respect to the initial measure and obtain a formula for densi...

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Bibliographic Details
Date:	2000
Main Authors:	Kulik, A. M., Pilipenko, A. Yu., Кулик, А. М., Пилипенко, А. Ю.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2000
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/4530
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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