#### Vol. 7, No. 5, 2014

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Matrix coefficients of depth-zero supercuspidal representations of $\mathrm{GL}(2)$

### Andrew Knightly and Carl Ragsdale

Vol. 7 (2014), No. 5, 669–690
##### Abstract

We give explicit formulas for matrix coefficients of the depth-zero supercuspidal representations of $GL\left(2\right)$ over a nonarchimedean local field, highlighting the case where the test vector is a unit new vector. We also describe the partition of the set of such representations according to central character, and compute sums of matrix coefficients over all representations in a given class.

##### Keywords
supercuspidal, matrix coefficients, regular characters
Primary: 22E50