location:  Publications → journals → CMB
Abstract view

# Hecke Operators on Jacobi-like Forms

Published:2001-09-01
Printed: Sep 2001
• Min Ho Lee
• Hyo Chul Myung
 Format: HTML LaTeX MathJax PDF PostScript

## Abstract

Jacobi-like forms for a discrete subgroup $\G \subset \SL(2,\mbb R)$ are formal power series with coefficients in the space of functions on the Poincar\'e upper half plane satisfying a certain functional equation, and they correspond to sequences of certain modular forms. We introduce Hecke operators acting on the space of Jacobi-like forms and obtain an explicit formula for such an action in terms of modular forms. We also prove that those Hecke operator actions on Jacobi-like forms are compatible with the usual Hecke operator actions on modular forms.
 MSC Classifications: 11F25 - Hecke-Petersson operators, differential operators (one variable) 11F12 - Automorphic forms, one variable