Laplacians on quotients of Cauchy-Riemann complexes and Szegö map for L2-harmonic forms
نویسندگان
چکیده
منابع مشابه
Laplacians on Quotients of Cauchy-riemann Complexes and Szegö Map for L-harmonic Forms
We compute the spectra of the Tanaka type Laplacians = ∂̄ Q∂̄Q + ∂̄Q∂̄ ∗ Q and △ = ∂ ∗ Q∂Q+ ∂Q∂ ∗ Q on the Rumin complex Q, a quotient of the tangential Cauchy-Riemann complex on the unit sphere S in Cn. We prove that Szegö map is a unitary operator from a subspace of (p, q− 1)-forms on the sphere defined by the operators △ and the normal vector field onto the space of L-harmonic (p, q)-forms on th...
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ژورنال
عنوان ژورنال: Indagationes Mathematicae
سال: 2005
ISSN: 0019-3577
DOI: 10.1016/s0019-3577(05)80044-8