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arXiv · 1706.09045

Series Analysis and Schwartz Algebras of Spherical Convolutions on Semisimple Lie Groups

Olufemi O. Oyadare
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Abstract

We give the exact contributions of Harish-Chandra transform, $(\mathcal{H}f)(\lambda),$ of Schwartz functions $f$ to the harmonic analysis of spherical convolutions and the corresponding $L^{p}-$ Schwartz algebras on a connected semisimple Lie group $G$ (with finite center). One of our major results gives the proof of how the Trombi-Varadarajan Theorem enters into the spherical convolution transform of $L^{p}-$ Schwartz functions.

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BibTeXRIS

Olufemi O. Oyadare. 2017-06-21. Series Analysis and Schwartz Algebras of Spherical Convolutions on Semisimple Lie Groups. https://arxiv.org/abs/1706.09045

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