Harmonic Analysis on the Finite Twisted Poincaré Upper Half Plane

Details Harmonic Analysis on the Finite Twisted Poincaré Upper Half Plane Harmonic Analysis on the Finite Twisted Poincaré Upper Half Plane

1995-10-07

arxiv.org/abs/math/9510204v1

Mathematics

Representation Theory

Scientific paper

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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