Towards a theory of functions in abstract Wiener spaces
Copyright policy )Towards a theory of functions in abstract Wiener spaces
The basic results on the theory of functions of bounded variation in an abstract Wiener space are discussed. First of all, the tools of the corresponding finite dimensional theory are carefully examined in order to find those results which are still helpful in infinite dimensional setting. A number of new results on bounded variation functions in the Wiener space setting. Open problems are formulated.
- University of Ferrara Italy
- Scuola Normale Superiore Italy
- University of Salento Italy
Wiener spaces; BV functions; Perimeter, Measure (Gaussian, cylindrical, etc.) and integrals (Feynman, path, Fresnel, etc.) on manifolds, Gaussian measure, functions of bounded variation, abstract Wiener space, Sobolev spaces, Functions of bounded variation, generalizations, Absolutely continuous real functions of several variables, functions of bounded variation, Ornstein-Uhlenbeck semigroup
Wiener spaces; BV functions; Perimeter, Measure (Gaussian, cylindrical, etc.) and integrals (Feynman, path, Fresnel, etc.) on manifolds, Gaussian measure, functions of bounded variation, abstract Wiener space, Sobolev spaces, Functions of bounded variation, generalizations, Absolutely continuous real functions of several variables, functions of bounded variation, Ornstein-Uhlenbeck semigroup
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