On the principal symbols of $K_{\mathbb{C}}$-invariant differential operators on Hermitian symmetric spaces

Takashi Hashimoto

Let $(G,K)$ be one of the following classical irreducible Hermitian symmetric pairs of noncompact type: $(SU(p,q),S(U(p)\times U(q))),(Sp(n,R),U(n))$, or $(SO\ast (2n),U(n))$. Let…