Hilbert spaces related to harmonic functions (Q1915245)
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scientific article; zbMATH DE number 889579
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hilbert spaces related to harmonic functions |
scientific article; zbMATH DE number 889579 |
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Hilbert spaces related to harmonic functions (English)
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16 June 1996
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We construct a Hilbert space with a reproducing kernel by using a measure which is not positive. The space is unitarily isomorphic to a Hilbert space on the spherical sphere under the Fourier transformation. Then we study Poisson transform of Sobolev space on the \(n\)-dimensional unit sphere.
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harmonic functions
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Hilbert space with a reproducing kernel
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Fourier transformation
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Poisson transform of Sobolev space
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