Under a linear spectral gap assumption on the Kodaira Laplacian, the paper proves asymptotic expansions and algebra properties for Toeplitz operators on non-compact manifolds, plus geometric conditions ensuring the gap on classes like Kähler-Einstein and quasi-projective manifolds.
CARTAN,S ´eminaire Henri Cartan: Fonctions analytiques de plusieurs variables complexes, Paris: ´Ecole Normale Sup´erieure, Secr´etariat math´ematique , 1951/52
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Berezin-Toeplitz Quantization of non-compact manifolds
Under a linear spectral gap assumption on the Kodaira Laplacian, the paper proves asymptotic expansions and algebra properties for Toeplitz operators on non-compact manifolds, plus geometric conditions ensuring the gap on classes like Kähler-Einstein and quasi-projective manifolds.