Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Fubini’s theorem for Daniell integrals
View through CrossRef
AbstractWe show that in the theory of Daniell integration iterated integrals may always be formed, and the order of integration may always be interchanged. By this means, we discuss product integrals and show that the related Fubini theorem holds in full generality. The results build on a density theorem on Riesz tensor products due to Fremlin, and on the Fubini–Stone theorem.
Title: Fubini’s theorem for Daniell integrals
Description:
AbstractWe show that in the theory of Daniell integration iterated integrals may always be formed, and the order of integration may always be interchanged.
By this means, we discuss product integrals and show that the related Fubini theorem holds in full generality.
The results build on a density theorem on Riesz tensor products due to Fremlin, and on the Fubini–Stone theorem.
Related Results
Goedel's Theorem and Mechanism
Goedel's Theorem and Mechanism
In “Minds, Machines, and Gödel”, J. R. Lucas claims that Goedel's incompleteness theorem constitutes a proof “that Mechanism is false, that is, that minds cannot be explained as ma...
The unreasonable effectiveness of Nonstandard Analysis
The unreasonable effectiveness of Nonstandard Analysis
Abstract
As suggested by the title, the aim of this paper is to uncover the vast computational content of classical Nonstandard Analysis. To this end, we formulate a...
Reeh-Schlieder Defeats Newton-Wigner: On Alternative Localization Schemes in Relativistic Quantum Field Theory
Reeh-Schlieder Defeats Newton-Wigner: On Alternative Localization Schemes in Relativistic Quantum Field Theory
Many of the “counterintuitive” features of relativistic quantum field theory have their formal root in the Reeh-Schlieder theorem, which in particular entails that local operations...
Comparison of modelled seismic loss against historical damage information
Comparison of modelled seismic loss against historical damage information
<p>The increasing loss of human life and property due to earthquakes in past years have increased the demand for seismic risk analysis for people to be better prepare...
Meteorological Essays and Observations
Meteorological Essays and Observations
By the early nineteenth century, meteorologists were equipped with plenty of useful devices: barometers, thermometers, hygrometers, and any number of variations thereon. But the na...
Daniell method for power spectral density estimation in atomic force microscopy
Daniell method for power spectral density estimation in atomic force microscopy
An alternative method for power spectral density (PSD) estimation—the Daniell method—is revisited and compared to the most prevalent method used in the field of atomic force micros...
Acoustical Methods in Supersonic Aerodynamics
Acoustical Methods in Supersonic Aerodynamics
The paper illustrates certain techniques common to acoustics and supersonic aerodynamics. The basic equations describing hydrodynamical phenomena taking place in a supersonic, invi...
Equivalence of the ap-Sequential Henstock and ap-Sequential Topological Henstock Integrals
Equivalence of the ap-Sequential Henstock and ap-Sequential Topological Henstock Integrals
Let $X$ be a topological space and $\Omega \subset X$. Suppose $f:\Omega\rightarrow X$ is a function defined in a complete space $ \Omega $ and $ \tau $ is a vector in $ \mathbb{R}...
Recent Results
La Doctrina de la Creación del Mundo en Algazel / The Doctrine of the Creation of the World in Algazel
La Doctrina de la Creación del Mundo en Algazel / The Doctrine of the Creation of the World in Algazel
Algazel considered dangerous the doctrine of the eternity of the world such as it was defended by the philosopheres, as well as harmfull for the islamic religion and even the drown...
Polyethnicity of a Medieval city and the Formation of Ethno-National Identity in France (on the Example of Paris in the 14th – 15th Centuries)
Polyethnicity of a Medieval city and the Formation of Ethno-National Identity in France (on the Example of Paris in the 14th – 15th Centuries)
The author focuses on the role of Paris, an important center of the social and political life of the French kingdom in the period of the 14th — 15th centuries, in the formation of ...
Pictures 1990-1995
Pictures 1990-1995
15 pictures from 1990-1995. Mixing technique?; 82 x 70 cm each in the exhibition: Horst Hirsig - pictures 1990-1995. 14.05.-16.06.1995...
Your session has timed out for security reasons.