Nonlinear Transformations of Smooth Measures on Infinite-Dimensional Spaces

• Дата: 2000
• Автори: Kulik, A. M., Pilipenko, A. Yu., Кулик, А. М., Пилипенко, А. Ю.
• Формат: Стаття
• Мова: Російська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2000
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/4530
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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...