Fay's trisecant formula and Hardy \(H^2\) reproducing kernels (Q2712259)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fay's trisecant formula and Hardy \(H^2\) reproducing kernels |
scientific article |
Statements
13 May 2002
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Klein prime form
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Riemann theta function
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Pick-Nevanlinna extremal problems
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Fay's trisecant formula and Hardy \(H^2\) reproducing kernels (English)
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Fay's trisecant formula (relating the Riemann theta function and the Klein prime form) was established in (\textit{J. D. Fay}, Theta functions on Riemann surfaces (1973; Zbl 0281.30013) and used to obtain certain identities and inequalities among various conformal invariants. In the paper under review a short proof of this formula is given; next, Fay's formula is applied to some Nevanlinna-Pick type extremal problems.NEWLINENEWLINEFor the entire collection see [Zbl 0957.00034].
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