Search results for " product of local systems"

showing 2 items of 2 documents

The Fubini and Tonelli Theorems for Product Local Systems

2010

The notion of product local system and of the Kurzweil-Henstock type integral related to a product local system is introduced. The main result is a version of the Fubini and Tonelli theorems for product local systems.

AlgebraDiscrete mathematicsLocal systemProduct (mathematics)Fubini's theoremMathematics::Classical Analysis and ODEslocal system product of local systems Henstock integralType (model theory)Mathematics::Symplectic GeometryMathematics
researchProduct

Product local system and Fubini and Tonelli theorems

2008

We present an integral, called S-integral, de ned by means of Riemann sums related to product local systems on the plane. The classical Henstock integral on the plane with respect to the Kurzweil basis is an example of integral related to a product local system. Some properties and a Fubini type theorem for the S-integral are considered. A monotone convergence theorem for the integral constructed by a local sys- tem in the real line is given and it is used to obtain a Tonelli type theorem for a product local system.

local system product of local systems Henstock integral
researchProduct