Hecke operators on Jacobi-like forms
Canadian Mathematical Bulletin
Jacobi-like forms for a discrete subgroup Γ ⊂ SL(2, ℝ) are formal power series with coefficients in the space of functions on the Poincaré 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.
Original Publication Date
DOI of published version
Lee, Min Ho and Chul Myung, Hyo, "Hecke operators on Jacobi-like forms" (2001). Faculty Publications. 3575.