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Analysis and Applications — ISAAC 2001 pp 135–150Cite as

Theory of Reproducing Kernels

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Part of the book series: International Society for Analysis, Applications and Computation ((ISAA,volume 10))

Abstract

In this survey article, we would like to show that the theory of reproducing kernels is fundamental, is beautiful and is applicable widely in mathematics. At the same time, we shall present some operator versions of our fundamental theory in the general theory of reproducing kernels, as original results.

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Author information

Authors and Affiliations

  1. Department of Mathematics Faculty of Engineering, Gunma University, Kiryu, 376-8515, Japan

    Saburou Saitoh

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  1. Saburou Saitoh
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Editor information

Editors and Affiliations

  1. Freie Universität Berlin, Berlin, Germany

    Heinrich G. W. Begehr

  2. University of Delaware, Newark, DE, USA

    Robert P. Gilbert

  3. York University, Toronto, Canada

    Man Wah Wong

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© 2003 Springer Science+Business Media Dordrecht

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Saitoh, S. (2003). Theory of Reproducing Kernels. In: Begehr, H.G.W., Gilbert, R.P., Wong, M.W. (eds) Analysis and Applications — ISAAC 2001. International Society for Analysis, Applications and Computation, vol 10. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3741-7_10

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  • DOI: https://doi.org/10.1007/978-1-4757-3741-7_10

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4419-5247-9

  • Online ISBN: 978-1-4757-3741-7

  • eBook Packages: Springer Book Archive

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