@techreport{f9c46b66cddb4091a0a0c832bc7112d1,

title = "The Twisted Satake Transform and the Casselman-Shalika Formula for Quasi-Split Groups",

abstract = "We prove the Casselman-Shalika formula for unramified groups over a non-archimedean local field by studying the action of the spherical Hecke algebra on the space of compact spherical Whittaker functions via the twisted Satake transform. This method provides a conceptual explanation of the appearance of characters of a dual group in the Casselman-Shalika formula.",

keywords = "Mathematics - Representation Theory, Mathematics - Number Theory",

author = "Nadya Gurevich and Edmund Karasiewicz",

year = "2020",

language = "???core.languages.en_GB???",

series = "Arxiv preprint",

edition = " arXiv:2012.09893 [math.RT]",

type = "WorkingPaper",

}