Parabolicity of second order differential equations in Hubert space.
Si da un risultato di esistenza di soluzioni periodiche per una equazione di Riccati in dimensione infinita.
We present the rough path theory introduced by Lyons, using the swewing lemma of Feyel and de Lapradelle.
In the current work a generalization of the famous Weyl-Kodaira inversion formulas for the case of self-adjoint differential vector-operators is proved. A formula for spectral resolutions over an analytical defining set of solutions is discussed. The article is the first part of the planned two-part survey on the structural spectral theory of self-adjoint differential vector-operators in matrix Hilbert spaces.