The JEFT is the Poisson transform of the Helgason Fourier transform, making it a joint eigenfunction of every invariant differential operator on the symmetric space.
S., An introduction to harmonic analysis on semisimple Lie groups, Cambridge Studies in Advanced Mathematics
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What is the JEFT?
The JEFT is the Poisson transform of the Helgason Fourier transform, making it a joint eigenfunction of every invariant differential operator on the symmetric space.