Kergin interpolation in Banach spaces

@inproceedings{Petersson2002KerginII,
  title={Kergin interpolation in Banach spaces},
  author={Henrik Petersson},
  year={2002}
}
We study the Kergin operator on the space HNb(E) of nuclearly entire functions of bounded type on a Banach space E. We show that the Kergin operator is a projector with interpolating properties and that it preserves homogeneous solutions to homogeneous differential operators. Further, we show that the Kergin operator is uniquely determined by these properties. We give error estimates for approximating a function by its Kergin polynomial and show in this way that for any given bounded sequence… CONTINUE READING

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Set-valued Hermite interpolation

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  • 2011
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