Browsing by MFO Scientific Program "OWRF 2025"
Now showing items 1-4 of 4
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Inversion of the Unbounded Finite Hilbert Transform on $L^1$
[OWP-2025-13] (Mathematisches Forschungsinstitut Oberwolfach, 2025-12)The finite Hilbert transform $T$ is a classical singular integral operator with its roots in aerodynamics, elasticity theory and image reconstruction. The setting has always been to consider $T$ as acting in those rearrangement ... -
Renormalisation of Singular SPDEs with Correlated Coefficients
[OWP-2025-09] (Mathematisches Forschungsinstitut Oberwolfach, 2025-09)We show local well-posedness of the g-PAM and the $\phi^{K+1}_2$-equation for $K\geq 1$ on the two-dimensional torus when the coefficient field is random and correlated to the driving noise. In the setting considered here, ... -
Renormalised Models for Variable Coefficient Singular SPDEs
[OWP-2025-07] (Mathematisches Forschungsinstitut Oberwolfach, 2025-07)In this work we prove convergence of renormalised models in the framework of regularity structures [Hai14] for a wide class of variable coefficient singular SPDEs in their full subcritical regimes. In particular, we provide ... -
Some Notes on Pontryagin Duality of Abelian Topological Groups
[OWP-2025-11] (Mathematisches Forschungsinstitut Oberwolfach, 2025-11)We consider several questions related to Pontryagin duality in the category of abelian pro-Lie groups.