Faculty Publications

Title

Hecke operators

Document Type

Article

Journal/Book/Conference Title

Springer Monographs in Mathematics

First Page

53

Last Page

76

Abstract

One of the effective tools in the theory of modular forms is the notion of Hecke operators (see e.g. [85]). Hecke operators can also be considered in connection with various other topics which involve actions of a discrete subgroup of a semisimple Lie group. In this chapter we introduce Hecke operators acting on the spaces of Jacobi-like forms, modular series, and pseudodifferential operators. We show that these Hecke operator actions are compatible with the mutual correspondences among those three objects studied in Chapter 1. We also discuss connections of these actions with Hecke operator actions on certain types of linear ordinary differential equations.

Original Publication Date

1-1-2019

DOI of published version

10.1007/978-3-030-29123-5_3

Repository

UNI ScholarWorks, Rod Library, University of Northern Iowa

Language

en

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