C. Fonseca-Mora

activity

20152026

most citedStochastic Integration and Stochastic PDEs Driven by Jumps on the Dual of a Nuclear Space

13 citations · 55 across the 19 of their papers we have counts for

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Showing 2023Show all

4 papers · 1 filter

math.PR2023

Tightness and weak convergence in the topology of local uniform convergence for stochastic processes in the dual of a nuclear space

C. A. Fonseca-Mora

Let $Φ^{'}$ denote the strong dual of a nuclear space $Φ$ and let $C_{\infty} (Φ^{'})$ be the collection of all continuous mappings $x : [0, \infty) \to Φ^{'}$ equipped with the topolog…

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…

math.PR2023★ 1 cited

Convergence Uniform on Compacts in Probability with Applications to Stochastic Analysis in Duals of Nuclear Spaces

C. A. Fonseca-Mora

Let $Φ^{'}$ denote the strong dual of a nuclear space $Φ$ . In this paper we introduce sufficient conditions for the convergence uniform on compacts in probability for a sequence of $Φ…