Dirichlet space
id:
dirichlet-space-262-18461432
title:
Dirichlet space
text:
In mathematics, the Dirichlet space on the domain Ω ⊆ C , D , is the reproducing kernel Hilbert space of holomorphic functions, contained within the Hardy space H 2 , for which the Dirichlet integral, defined by is finite. The latter is the integral occurring in Dirichlet's principle for harmonic functions. The Dirichlet integral defines a seminorm on D . It is not a norm in general, since D = 0 whenever f is a constant function. For f , g ∈ D , we define This is a semi-inner product, and clearl
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wiki
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encyclopedia
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original url:
https://en.wikipedia.org/wiki/Dirichlet_space
date created:
date modified:
2016-10-25T16:43:44Z
main entity:
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13
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