Laplacians on quotients of Cauchy-Riemann complexes and Szegö map for $L^2$-harmonic forms

Bent Orsted, Genkai Zhang

We compute the spectra of the Tanaka type Laplacians on the Rumin complex, a quotient of the tangential Cauchy-Riemann complex on the unit sphere in $C^n$. We prove that Szegö map…