Using the notion of bounded variation for functions of several variables, some conditions have been found, in order to ensure that a planar transformation T admits an invariant measure with density. The structure of the invariant measure is described, and also uniqueness results have been obtained. Previous one-dimensional results of different Authors are partially extended.
Misure invarianti per trasformazioni in piu' dimensioni
CANDELORO, Domenico
1987
Abstract
Using the notion of bounded variation for functions of several variables, some conditions have been found, in order to ensure that a planar transformation T admits an invariant measure with density. The structure of the invariant measure is described, and also uniqueness results have been obtained. Previous one-dimensional results of different Authors are partially extended.File in questo prodotto:
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