Pseudodifferential operators associated to linear ordinary differential equations
type: Item
instance of: scholarly article
title: Pseudodifferential operators associated to linear ordinary differential equations
zbMATH Open document ID: 1004.11018
author: Min Ho Lee
published in: Illinois Journal of Mathematics
publication date: 2002-04-28T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 11F12
Mathematics Subject Classification ID: 47G30
Mathematics Subject Classification ID: 34A30
zbMATH DE Number: 1734197
zbMATH Keywords: formal Laurent series
zbMATH Keywords: pseudodifferential operators
zbMATH Keywords: linear ordinary differential equations
zbMATH Keywords: automorphic forms
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1734197