The Twisted Satake Transform and the Casselman–Shalika Formula for Quasi-Split Groups
نویسندگان
چکیده
Abstract We prove the Casselman–Shalika formula for unramified groups over a non-archimedean local field by studying action of spherical Hecke algebra on space compact Whittaker functions via twisted Satake transform. This method provides conceptual explanation appearance characters dual group in formula.
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ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2021
ISSN: ['1687-0247', '1073-7928']
DOI: https://doi.org/10.1093/imrn/rnab346