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Fubini's Theorem for Null Sets

The American Mathematical Monthly, 1989
(1989). Fubini's Theorem for Null Sets. The American Mathematical Monthly: Vol. 96, No. 8, pp. 718-721.
openaire   +1 more source

Fubini theorem and generalized Minkowski inequality for the pseudo-integral

International Journal of Approximate Reasoning, 2020
Deli Zhang, E. Pap
semanticscholar   +1 more source

Fubini’s theorem for a vector-valued Daniell integral

Quaestiones Mathematicae. Journal of the South African Mathematical Society
We define the product integral for two Riesz space-valued Daniell integrals and prove Fubini’s theorem establishing the relation between product integrals and iterated integrals.
J. Grobler
semanticscholar   +1 more source

Fubini-type theorem for anticipating integrals

Random Operators and Stochastic Equations, 1996
This paper is devoted to the proof of the following theorem: Let \(W_t\) be an \(r\)-dimensional Wiener process on a probability space \((\Omega,\mathfrak F,P)\). Let \((X,\mathcal X,\mu)\) be a measure space, \(\mu\) finite, and \(\varphi: X\times[0,1]\times\Omega\to\mathbb{R}^r\) an \(\mathcal X\otimes\mathfrak B([0,1])\otimes\mathfrak F\)-measurable
openaire   +1 more source

Learning nonlinear operators via DeepONet based on the universal approximation theorem of operators

Nature Machine Intelligence, 2021
Lu Lu, Pengzhan Jin, Guofei Pang
exaly  

Experimental quantum key distribution certified by Bell's theorem

Nature, 2022
David Nadlinger   +2 more
exaly  

Fubini’s Theorem for Plane Stochastic Integrals

1998
Plane stochastic integrals began to develop twenty years ago with a paper of Cairoly and Walsh [2]. Despite the enormous progress in Stochastic Analysis as a whole, most properties of plane integrals, which are not straightforward generalizations of the 1-index case, remain poorly understood.
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