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math.FA2023
Riesz spaces of signed charges on semi-rings
Santiago Cambronero, David Campos, C. A. Fonseca-Mora +1
A constructive definition of the supremum of a family of set functions is exploited in the context of Riesz spaces of signed measures and finitely additive functions (signed charge…
math.PR2023
Cylindrical Martingale-Valued Measures, Stochastic Integration and SPDEs
Santiago Cambronero, David Campos, C. A. Fonseca-Mora +1
We develop a theory of Hilbert-space valued stochastic integration with respect to cylindrical martingale-valued measures. As part of our construction, we expand the concept of qua…