Journal of the Ramanujan Mathematical Society

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Simplicity of Poisson Transform on Harmonic NA Group


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1 Department of Mathematics, Indian Institute of Technology, Guwahati, Guwahati 700 108, India
     

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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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  • Simplicity of Poisson Transform on Harmonic NA Group

Abstract Views: 295  |  PDF Views: 0

Authors

Pratyoosh Kumar
Department of Mathematics, Indian Institute of Technology, Guwahati, Guwahati 700 108, India

Abstract


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.