6533b82cfe1ef96bd128fd75

RESEARCH PRODUCT

The Classical Theory of Real Functions

Corneliu ConstantinescuKarl WeberWolfgang FilterAlexia Sontag

subject

AlgebraClass (set theory)Real analysisComputer scienceSimple functionPath (graph theory)Link (knot theory)Classical limitFirst classConnection (mathematics)

description

The first class of real functions we deal with in this chapter is the class of functions of locally finite variation. These functions are closely related to the real measures on B. Exploiting this connection would allow us to obtain the properties of these functions from the general results in Chapter 4. But the path we follow here is a more direct one which applies the theory of vector lattices. The link with the measures on B will be established in the next section.

yearjournalcountryeditionlanguage
1998-01-01
https://doi.org/10.1007/978-94-007-0852-5_9