Hecke Operators on Linear Ordinary Differential Equations
Automorphic forms, Hecke operators, Ordinary differential equations
Acta Applicandae Mathematicae
We construct Hecke operators acting on the space of certain linear ordinary differential equations, and describe a Hermitian inner product on the space of such differential equations. We also determine the adjoint of the Hecke operator with respect to this inner product, and prove that the space of ordinary differential equations associated to an automorphic form for a certain discrete subgroup of SL(2, ℝ) has a basis consisting of common eigenvectors of a class of Hecke operators.
Original Publication Date
DOI of published version
Lee, Min Ho, "Hecke Operators on Linear Ordinary Differential Equations" (1999). Faculty Publications. 3829.