Harmonic Analysis on the Finite Twisted Poincar\'e Upper Half Plane
classification
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finitetwistedanalysischaractercorrespondingcoxeterdescriptionexplicit
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We prove that the induced representation from a non trivial character of the Coxeter torus of GL$(2,F)$, for a finite field $F$, is multiplicity-free; we give an explicit description of the corresponding (twisted) spherical functions and a version of the Heisenberg Uncertainty Principle.
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