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math.RT2025
An inequality of Harish-Chandra
Nolan R Wallach
In paper I of his masterpiece Harmonic Analysis on Real Reductive Groups, Harish-Chandra included an important inequality that is useful in proving that certain key integrals depen…
math.RT2024
Hilbert and Fréchet bundle versions of the Harish-Chandra and Whittaker Plancherel Theorems
Nolan R. Wallach
This paper, in particular, gives a complete proof of the direct integral version of the Whittaker Plancherel Theorem. The main emphasis is on certain Hilbert and Fréchet vector bu…