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The kaehlerian structures and reproducing kernels

Name: The kaehlerian structures and reproducing kernels
Keywords: reproducing kernels, Local differential geometry of Hermitian and Kählerian structures, Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces), Hilbert space structure over a Kählerian manifold with global potential

The Kählerian structures and reproducing kernels

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1991 English Publisher:Institute of Mathematics, Polish Academy of SciencesJournal:Annales Polonici Mathematici, volume 55, pages 221-224 (issn: 0066-2216, eissn: 1730-6272,

Authors: Tomasz Mazur; Anna Krok;

doi: 10.4064/ap-55-1-221-224

The kaehlerian structures and reproducing kernels

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Abstract

Summary: It is shown that one can define a Hilbert space structure over a Kählerian manifold with global potential in a natural way.

Keywords

reproducing kernels, Local differential geometry of Hermitian and Kählerian structures, Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces), Hilbert space structure over a Kählerian manifold with global potential

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