The paper determines the spectrum of Schwartz functions on Mat_{n,m} and the symplectic Grassmannian using rho-derivatives and the Local Structure Theorem, yielding new proofs and explicit local lifts.
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The spectrum of the symplectic Grassmannian and $\mathrm{Mat}_{n,m}$
The paper determines the spectrum of Schwartz functions on Mat_{n,m} and the symplectic Grassmannian using rho-derivatives and the Local Structure Theorem, yielding new proofs and explicit local lifts.