3 papers
math.DG2025
Compact, connected, complex manifolds that admit a compact transitive group of holomorphic automorphisms
Lei Ni, Nolan Wallach
The purpose of this paper is to develop a Lie algebraic approach to obtain new proofs of important results of H.-C. Wang, Tits and Wolf-Wang-Ziller on compact complex homogeneous m…
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…