Journal of the Ramanujan Mathematical Society
Volume 31, Issue 1, March 2016 pp. 1–15.
Simplicity of Poisson transform on harmonic NA group
Authors:
Pratoosh Kumar
Author institution:Department of Mathematics, Indian Institute of Technology, Guwahati, Guwahati 700 108, India
Summary:
A complex number λ is called simple if the Poisson
transform defined on harmonic NA group is injective. We proved
that the simplicity of λ depends on the zeros of the
denominator of the Harish-Chandra's c-function.
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