Ornstein–Uhlenbeck semigroups in infinite dimension
Copyright policy )Ornstein–Uhlenbeck semigroups in infinite dimension
This is a survey paper about Ornstein–Uhlenbeck semigroups in infinite dimension and their generators. We start from the classical Ornstein–Uhlenbeck semigroup on Wiener spaces and then discuss the general case in Hilbert spaces. Finally, we present some results for Ornstein–Uhlenbeck semigroups on Banach spaces. This article is part of the theme issue ‘Semigroup applications everywhere’.
- University of Salento Italy
- University of Parma Italy
Mathematics - Analysis of PDEs, Ornstein-Uhlenbeck operator, Wiener space, FOS: Mathematics, Ornstein–Uhlenbeck operators; Ornstein–Uhlenbeck semigroups; Wiener space, Ornstein-Uhlenbeck semigroup, 510, Analysis of PDEs (math.AP)
Mathematics - Analysis of PDEs, Ornstein-Uhlenbeck operator, Wiener space, FOS: Mathematics, Ornstein–Uhlenbeck operators; Ornstein–Uhlenbeck semigroups; Wiener space, Ornstein-Uhlenbeck semigroup, 510, Analysis of PDEs (math.AP)
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).5 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!