Abstract
By means of Riemann’s theta function and Klein’s prime form, we can express many important conformal invariants defined on a planar regular region. Fay’s trisecant formula is the key to obtain various identities and inequalities among them. Also, we give a short proof of the trisecant formula and discuss its application to an analogue of the Pick-Nevanlinna extremal problems for Hardy H 2 spaces.
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© 1999 Springer Science+Business Media Dordrecht
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Yamada, A. (1999). Fay’s Trisecant Formula and Hardy H 2 Reproducing Kernels. In: Saitoh, S., Alpay, D., Ball, J.A., Ohsawa, T. (eds) Reproducing Kernels and their Applications. International Society for Analysis, Applications and Computation, vol 3. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-2987-0_18
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DOI: https://doi.org/10.1007/978-1-4757-2987-0_18
Publisher Name: Springer, Boston, MA
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