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arXiv · 1012.1289

Classical Analysis and Nilpotent Lie Groups

Joseph A. Wolf
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Abstract

Classical Fourier analysis has an exact counterpart in group theory and in some areas of geometry. Here I'll describe how this goes for nilpotent Lie groups and for a class of Riemannian manifolds closely related to a nilpotent Lie group structure. There are also some infinite dimensional analogs but I won't go into that here. The analytic ideas are not so different from those of the classical Fourier transform and Fourier inversion theories in one real variable.

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Joseph A. Wolf. 2010-12-06. Classical Analysis and Nilpotent Lie Groups. https://arxiv.org/abs/1012.1289

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