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.
Original language | English |
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Pages (from-to) | 11148-11179 |
Number of pages | 32 |
Journal | International Mathematics Research Notices |
Volume | 2022 |
Issue number | 14 |
DOIs | |
State | Published - 21 Dec 2021 |
Keywords
- Mathematics - Representation Theory
- Mathematics - Number Theory
ASJC Scopus subject areas
- General Mathematics