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The reproducing kernel Hilbert space and its multiplication operators

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Complex Analysis and Related Topics

Part of the book series: Operator Theory Advances and Applications ((OT,volume 114))

Abstract

This exposition collects some facts concerning the reproducing kernel Hilbert space and its multiplication operators and is oriented towards applications, especially to modelling unbounded Hilbert space operators as in [5]. It, by the way, reflects the author’s personal view of the RKHS approach as well as his interest in clarifying the circumstances.

To commemorate the 90th anniversary of the introduction of the reproducing kernel property by Stanislaw Zaremba

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References

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Szafraniec, F.H. (2000). The reproducing kernel Hilbert space and its multiplication operators. In: de Arellano, E.R., Vasilevski, N.L., Shapiro, M., Tovar, L.M. (eds) Complex Analysis and Related Topics. Operator Theory Advances and Applications, vol 114. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8698-7_17

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  • DOI: https://doi.org/10.1007/978-3-0348-8698-7_17

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9734-1

  • Online ISBN: 978-3-0348-8698-7

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