2009 | OriginalPaper | Buchkapitel
Foundations of Measure Theory
verfasst von : Jiu Ding, Aihui Zhou
Erschienen in: Statistical Properties of Deterministic Systems
Verlag: Springer Berlin Heidelberg
Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.
Wählen Sie Textabschnitte aus um mit Künstlicher Intelligenz passenden Patente zu finden. powered by
Markieren Sie Textabschnitte, um KI-gestützt weitere passende Inhalte zu finden. powered by
The fundamental mathematical knowledge used in the book is reviewed in this chapter, which includes basic measure theory and Lebesgue integration theory,
L
1
spaces, the classic definition of variation for functions of one variable and the modern notion of variation for functions of several variables, compactness arguments for
L
1
spaces, and quasi-compact operators on a Banach space which is a compactly-imbedded dense subspace of the
L
1
space.