arXiv math/95102041995-10-07math.RT

Harmonic Analysis on the Finite Twisted Poincaré Upper Half Plane

Jorge Soto-Andrade, Jorge Vargas

英文摘要：

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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