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Using the refinement equation for the construction of pre-wavelets IV: Cube splines and elliptic splines united

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Methods of Approximation Theory in Complex Analysis and Mathematical Physics

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1550))

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References

  1. G. Battle, A block spin construction of ondelettes: Part I: LeMarie Functions, Commun. Math. Phys. 110 (1987), pp. 601–615.

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  2. C.A. Micchelli, Using the refinement equation for the construction of pre-wavelets, Numerical Algorithms 1 (1991), pp. 75–116.

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  3. C.A. Micchelli, Banded matrices with banded inverses Journal of Computational and Applied Mathematics, (to appear).

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  4. C.A. Micchelli, C. Rabut, and F.I. Utreras, Using the refinement equation for the construction of pre-wavelets III: elliptic splines Numerical Algorithms, (to appear).

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  5. R.Q. Jia and C.A. Micchelli, Using the refinement equations for the construction of pre-wavelets II: Powers of Two Curves and Surfaces, P.J. Laurent, A. Le Méhauté and L.L. Schumaker (eds), Academic Press, New York, 1991., (to appear).

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  6. W. Rudin, Functional Analysis, McGraw Hill Book Company, New York, 1973.

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Authors and Affiliations

  1. T.J. Watson Research Center, P.O. Box 218, 10598, Yorktown Heights, NY, USA

    Charles A. Micchelli

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  1. Charles A. Micchelli
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Andrei A. Gonchar Edward B. Saff

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© 1993 The Euler International Mathematical Institute

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Micchelli, C.A. (1993). Using the refinement equation for the construction of pre-wavelets IV: Cube splines and elliptic splines united. In: Gonchar, A.A., Saff, E.B. (eds) Methods of Approximation Theory in Complex Analysis and Mathematical Physics. Lecture Notes in Mathematics, vol 1550. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0117474

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  • DOI: https://doi.org/10.1007/BFb0117474

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-56931-2

  • Online ISBN: 978-3-540-47792-1

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