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math.FA2025
Second Quantization and Evolution Operators in infinite dimension
Davide Addona, Paolo De Fazio
In an infinite dimensional separable Hilbert space , we study compactness properties and the hypercontractivity of the Ornstein-Uhlenbeck evolution operators in the sp…
math.PR2025
Weak uniqueness for stochastic partial differential equations in Hilbert spaces
Davide Addona, Davide Augusto Bignamini
Let be two separable Hilbert spaces. The main goal of this paper is to study the weak uniqueness of the Stochastic Differential Equation evolving in \begin{align*} dX(t)=…