In the mathematical study of several complex variables, the Bergman kernel, named after Stefan Bergman, is a reproducing kernel for the Hilbert space of all square integrable holomorphic functions on a domain D in Cn.In detail, let L2(D) be the Hilbert space of square integrable functions on D, and let L2,h(D) denote the subspace consisting of holomorphic functions in D: that is,where H(D) is the space of holomorphic functions in D.

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  • 2002 (xsd:integer)
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  • Steven Krantz
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  • E.M.
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  • B/b015560
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  • 978 (xsd:integer)
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  • Chirka
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  • Providence, R.I.
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  • Krantz
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  • Steven G.
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  • Bergman kernel function
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  • Function Theory of Several Complex Variables
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  • In the mathematical study of several complex variables, the Bergman kernel, named after Stefan Bergman, is a reproducing kernel for the Hilbert space of all square integrable holomorphic functions on a domain D in Cn.In detail, let L2(D) be the Hilbert space of square integrable functions on D, and let L2,h(D) denote the subspace consisting of holomorphic functions in D: that is,where H(D) is the space of holomorphic functions in D.
rdfs:label
  • Noyau de Bergman
  • Bergman kernel
  • Núcleo de Bergman
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