Pseudodifferential operators associated to linear ordinary differential equations (Q1347351)

In the context of the paper under review, a pseudodifferential operator is a (formal) Laurent series of the (formal) inverse \(\partial^{-1}\) of the differential operator \(\partial= \frac{d}{dz}\) where \(z\in \mathbb{C}\), with coefficients that are meromorphic functions defined on the Poincaré upper half-plane contained in \(\mathbb{C}\). The author studies connections between pseudodifferential operators and linear ordinary differential equations by means of investigating the connections that each of them have with automorphic forms.