A note on Berezin-Toeplitz quantization of the Laplace operator

作者：Della Vedova Alberto

来源：COMPLEX MANIFOLDS, 2015, 2(1): 131-139.

DOI：10.1515/coma-2015-0010

<jats:title>Abstract</jats:title><jats:p>Given a Hodge manifold, it is introduced a self-adjoint operator on the space of endomorphisms of the global holomorphic sections of the polarization line bundle. Such operator is shown to approximate the Laplace operator on functions when composed with Berezin-Toeplitz quantization map and its adjoint, up to an error which tends to zero when taking higher powers of the polarization line bundle.</jats:p>

• 出版日期2015-1