Corpus ID: 119723675

Stirling numbers and Gregory coefficients for the factorization of Hermite subdivision operators

@article{Moosmuller2018StirlingNA,
  title={Stirling numbers and Gregory coefficients for the factorization of Hermite subdivision operators},
  author={Caroline Moosmuller and Svenja Huning and C. Conti},
  journal={arXiv: Numerical Analysis},
  year={2018}
}
  • Caroline Moosmuller, Svenja Huning, C. Conti
  • Published 2018
  • Mathematics
  • arXiv: Numerical Analysis
  • In this paper we present a factorization framework for Hermite subdivision operators which satisfy the spectral condition of order $d \geq 1$. In particular we show that such Hermite subdivision operators admit $d$ factorizations with respect to the Gregory operators: a new sequence of operators we define using Stirling numbers and Gregory coefficients. We further prove that the $d$-th factorization provides a 'convergence from contractivity' method for showing $C^d$-convergence of the… CONTINUE READING

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    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 43 REFERENCES
    Generalized Taylor operators and polynomial chains for Hermite subdivision schemes
    6
    Generalized Taylor operators and Hermite subdivision schemes
    2
    Hermite Subdivision Schemes and Taylor Polynomials
    27
    From Hermite to stationary subdivision schemes in one and several variables
    28
    A generalized Taylor factorization for Hermite subdivision schemes
    14
    Dual Hermite subdivision schemes of de Rham-type
    21
    Increasing the smoothness of vector and Hermite subdivision schemes
    6
    Convergence of level-dependent Hermite subdivision schemes
    15
    Factorization of Hermite subdivision operators preserving exponentials and polynomials
    22
    Construction of Hermite subdivision schemes reproducing polynomials
    15