Strichartz’s conjecture for Poisson transforms and generalized spectral projections on spinors
21 septembre 2023 @ 15:45 – 16:45 – We consider the real hyperbolic space $H^n(R)$ as the symmetric space $\operatorname{Spin}_0(1, n) / \operatorname{Spin}(n)$. We prove that the Poisson transform is an isomorphism between the space of $L^2$-spinors on the unit sphere $S^{n-1}$ and a certain weighted $L^2$-space consisting of joint eigenspinors on $H^n(R)$. For this purpose, we prove a Fourier restriction estimate and […]