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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/104784
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