Bergman kernel

id: bergman-kernel-162-6682901
title: Bergman kernel
text: In the mathematical study of several complex variables, the Bergman kernel, named after Stefan Bergman, is the reproducing kernel for the Hilbert space (RKHS) of all square integrable holomorphic functions on a domain D in Cn. In detail, let L⁲(D) be the Hilbert space of square integrable functions on D, and let L2,h(D) denote the subspace consisting of holomorphic functions in L⁲(D): that is, - L 2, h ( D ) = L 2 ( D ) ∩ H ( D ) where H(D) is the space of holomorphic functions in D. Then L2,h
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Bergman_kernel
date created: 2005-11-20T17:07:40Z
date modified: 2024-08-27T19:42:54Z
main entity: {"identifier":"Q3345664","url":"https://www.wikidata.org/entity/Q3345664"}
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fields total: 13
integrity: 14

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