Springer Monographs in Mathematics
In this chapter we consider a differential operator (formula presented) associated to a real number μ acting on the space of formal power series, which may be regarded as the heat operator with respect to the radial coordinate in the 2μ-dimensional space for a positive integer μ. If λ is an integer, we show that (formula presented) carries Jacobi-like forms of weight λ to ones of weight λ + 2 and obtain the formula for the m-fold composite (formula presented) of such operators. We then determine the corresponding operators on modular series and as well as on automorphic pseudodifferential operators (cf. ).
Department of Mathematics
Original Publication Date
DOI of published version
UNI ScholarWorks, Rod Library, University of Northern Iowa
Choie, Young Ju and Lee, Min Ho, "Heat operators" (2019). Faculty Publications. 576.