• Inversion of the Unbounded Finite Hilbert Transform on $L^1$ 

      [OWP-2025-13] Curbera, Guillermo P.; Okada, Susumu; Ricker, Werner J. (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] Clozeau, Nicolas; Singh, Harprit (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] Broux, Lucas; Singh, Harprit; Steele, Rhys (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] Hofmann, Karl Heinrich; Kramer, Linus (Mathematisches Forschungsinstitut Oberwolfach, 2025-11)
      We consider several questions related to Pontryagin duality in the category of abelian pro-Lie groups.