A representation theoretic approach to Kohnen's plus space of modular forms of half integral weight
arXiv:0902.1264
Abstract
In this paper we develop representation theory of the two fold central extension of SL(2) over the field of 2-adic numbers. As a consequence, we obtain a local Shimura correspondence between the two fold central extension of SL(2) and the linear group PGL(2), which we show to be compatible with the global Shimura correspondence at p=2.
18 pages