An explicit computation of p-stabilized vectors
  In this paper, we give a method to compute p-stabilized vectors in the space of parahori-fixed vectors for connected reductive groups over p-adic fields. The application to the global setting is also discussed. In particular, we give an explicit p-stabilized form of a Saito-Kurokawa lift. 
Michitaka Miyauchi and Takuya Yamauchi
math.NT math.RT