On generalization of a theorem of Harish-Chandra
Taiwang Deng
TL;DR
This paper extends a classical theorem of Harish-Chandra, providing broader conditions under which the Fourier transforms of orbital integrals are representable, advancing understanding in harmonic analysis on Lie groups.
Contribution
It generalizes Harish-Chandra's theorem by relaxing conditions for the representability of Fourier transforms of orbital integrals.
Findings
Broader conditions for Fourier transform representability
Extension of Harish-Chandra's theorem to new settings
Enhanced understanding of harmonic analysis on Lie groups
Abstract
In this paper under some conditions we generalize a theorem of Harish-Chandra concerning representability of Fourier transforms of orbital integrals.
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Taxonomy
TopicsAnalytic Number Theory Research · Mathematical functions and polynomials · Advanced Algebra and Geometry