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The Nehari problem for the weighted Szegő kernels

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Reproducing Kernels and their Applications

Part of the book series: International Society for Analysis, Applications and Computation ((ISAA,volume 3))

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Abstract

The weighted kernels of Szegö type were systematically examined by Nehari ([Ne-1]) in 1950, in order to solve a number of extremal problems. Nehari derived some basic properties of the weighted Szegö kernels and interesting relations among those kernels and other domain functions. In there, he proposed a simple but important problem concerning the zero points of the weighted Garabedian kernels which are the adjoint L-kernels for the weighted Szegö kernels ([Ne-1]). We call this “the Nehari problem”.

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© 1999 Springer Science+Business Media Dordrecht

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Uehara, M. (1999). The Nehari problem for the weighted Szegő 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_17

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  • DOI: https://doi.org/10.1007/978-1-4757-2987-0_17

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4419-4809-0

  • Online ISBN: 978-1-4757-2987-0

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