It is studied the definition and the main properties of functions with bounded variations in abstrac Wiener spaces. The paper essentially relies on the theory of Malliavin calculus and the main definitions present in literature (essentially due to Fukushima and Hino) are compared. The main original part of this paper is in the integral-geometrc approach.
Towards a theory of BV functions in abstract Wiener spaces
MIRANDA, Michele;
2010
Abstract
It is studied the definition and the main properties of functions with bounded variations in abstrac Wiener spaces. The paper essentially relies on the theory of Malliavin calculus and the main definitions present in literature (essentially due to Fukushima and Hino) are compared. The main original part of this paper is in the integral-geometrc approach.File in questo prodotto:
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