%%%% definitions used
\def\openR{{{\rm I}\kern-.16em {\rm R}}}
\def\RR{\openR} % the reals
\def\openC{{\rm C\kern-.18cm\vrule width.6pt height 6pt
depth-.2pt \kern.18cm} }
\def\CC{\openC} % the complexes
\def\Cn{\openC^n}
\def\RAIROAN{Rev.\ Fran\c caise Automat.\ Informat.\ Rech.
\ Op\'er., Anal.\ Numer.}
%%%% end of definitions used

\centerline{\bf List of references for Kergin interpolation}
\bigskip


Andersson, M., and M. Passare\ (1991),
``Complex Kergin interpolation'',
{\it J. Approx.\ Theory\/} {\bf 64}, 214--225.

Andersson, M., and M. Passare\ (1991),
``Complex Kergin interpolation and the Fantappie transform'',
{\it Math.\ Z.\/} {\bf 208(2)}, 257--271.

Bloom, T.\ (1979),
``Polynomial interpolation'',
{\it Bol.\ de Soc.\ Bras.\ de Mat.\/} {\bf 10}, xxx--xxx.

Bloom, T.\ (1981),
``Kergin interpolation of entire functions on $\Cn $'',
{\it Duke Math.\ J.\/} {\bf 48(1)}, 69--83.

Bloom, T.\ (1984),
``On the convergence of interpolating polynomials for entire functions'',
in {\it Analyse Complexe\/} (xxx, ed),
 Lecture notes in Math., Vol. 1094, Springer-Verlag (Berlin), 15--19.

Bloom, T.\ (1990),
``Interpolation at discrete subsets of $\CC ^n$'',
{\it Indiana Univ.\ Math.\ J.\/} {\bf 39(4)}, 1223--1243.

Bloom, T.\ (1990),
``A spanning set for ${\cal C}(I^n)$'',
{\it Trans.\ Amer.\ Math.\ Soc.\/} {\bf 34(2)}, 740--759.

Bloom, T.\ (1992),
``A multivariable version of the Muntz-Szasz theorem'',
{\it Contemporary Math\/} {\bf 137}, 85--92.

Bloom, T., and L. Bos\ (1983),
``On the convergence of Kergin interpolant of analytic functions'',
in {\it Approximation Theory IV\/} (C. Chui, L. Schumaker, and J. Ward, eds),
 Academic Press (New York), 369--374.

Bloom, T., and J. P. Calvi\ (1994),
``Kergin interpolants of holomorphic functions'', preprint.

Bloom, T., and J. P. Calvi\ (1992),
``A convergence problem for Kergin interpolation II'',
in {\it Approximation Theory VIII\/} (E. W. Cheney, C. Chui, and L. Schumaker, eds),
 Academic Press (New York), xxx-xxx.

Bojanov, B. D., H. A. Hakopian, and A. A. Sahakian\ (1993),
{\it Spline functions and multivariate interpolations\/}, Kluwer Academic Publishers.

Bos, L.\ (1983),
``On Kergin interpolation in the disk'',
{\it J. Approx.\ Theory\/} {\bf 37}, 251--261.

Bos, L.\ (1983),
``On Kergin interpolation in the disk'',
{\it J. Approx.\ Theory\/} {\bf 37}, 251--261.

Calvi, J. P.\ (1993),
``Interpolation in Fr\'echet spaces with an application to complex function theory'',
{\it Indag.\ Math.\/} {\bf 4(1)}, 17-26.

Calvi, J. P.\ (1993),
``Interpolation with prescrived analytic functionals'',
{\it J. Approx.\ Theory\/} {\bf 75(2)}, 136-156.

Calvi, J. P.\ (1994),
``A convergence problem for Kergin interpolation'',
{\it Proc.\ Edin.\ Math.\ Soc.\/} {\bf 37}, 175--183.

Cavaretta, A. S., C. A. Micchelli, and A. Sharma\ (1983),
``Multivariate interpolation and the Radon transform, part III: Lagrange representation'',
{\it Can. Math. Soc. Conf. Proc.\/} {\bf 3}, 37--50.

Cavaretta, A. S., C. A. Micchelli, and A. Sharma\ (1980),
``Multivariate interpolation and the Radon transform'',
{\it Math.\ Z.\/} {\bf 174}, 263--279.

Cavaretta, A. S., C. A. Micchelli, and A. Sharma\ (1980),
``Multivariate interpolation and the Radon transform, part II: Some further examples'',
in {\it Quantitative Approximation\/} (R. DeVore and K. Scherer, eds),
 Academic Press (New York), 49--61.

Dahmen, W. A., and C. A. Micchelli\ (1983),
``On the linear independence of multivariate B-splines II: complete configurations'',
{\it Math.\ Comp.\/} {\bf 41(163)}, 143--163.

Dokken, T., and T. Lyche\ (1978),
``A divided difference formula for the error in numerical differentiation based on Hermite interpolation'', Research Report 40, Institute of informatics, Univ. Oslo.

Dokken, T., and T. Lyche\ (1979),
``A divided difference formula for the error in Hermite interpolation'',
{\it BIT\/} {\bf 19}, 540--542.

Dyn, N., G. G. Lorentz, and S. D. Riemenschneider\ (1982),
``Continuity of Birkhoff interpolation'',
{\it SIAM J. Numer.\ Anal.\/} {\bf 19(3)}, 507--509.

Gao, J. B.\ (1988),
``Multivariate quasi-Newton interpolation'',
{\it J. Math.\ Res.\ Exposition (in Chinese)\/} {\bf 8(3)}, 447--453.

Goodman, T. N. T.\ (1983),
``Interpolation in minimum semi-norm, and multivariate B-splines'',
{\it J. Approx.\ Theory\/} {\bf 37}, 212--223.

Goodman, T. N. T., and A. Sharma\ (1984),
``Convergence of multivariate polynomials interpolating on a triangular array'',
{\it Trans.\ Amer.\ Math.\ Soc.\/} {\bf 285(1)}, 141--157.

Hakopian, H.\ (1981),
``Les differences divis\'ees de plusieurs variables et les interpolations multidimensionnelles de types Lagrangien et Hermitien'',
{\it C. R. Acad.\ Sci.\ Paris\ Ser.\ I\/} {\bf 292}, 453-456.

Hakopian, H.\ (1982),
``Multivariate divided differences and multivariate interpolation of Lagrange and Hermite type'',
{\it J. Approx.\ Theory\/} {\bf 34}, 286--305.

H\"ollig, K.\ (1986),
``Multivariate splines'',
in {\it Approximation Theory, Proc.\ Symp.\ Appl.\ Math.\ {\bf 36}\/} (C. de Boor, ed),
 Amer.Math.Soc.\ (Providence), 103--127.

H\"ollig, K., and C. A. Micchelli\ (1987),
``Divided differences, hyperbolic equations, and lifting distributions'',
{\it Constr.\ Approx.\/} {\bf 3}, 143--156.

Jia, Rong-Qing\ (1986),
``Extension of Kergin interpolation operators'',
{\it Ke Xue Tong Bao\/} {\bf 31}, 805--808.

Kergin, P.\ (1978),
``Interpolation of $C^k$ Functions'',
dissertation, University of Toronto, Canada.

Kergin, P.\ (1980),
``A natural interpolation of $C^k$ functions'',
{\it J. Approx.\ Theory\/} {\bf 29}, 278--293.

Lai, Mingjun, and Xinghua Wang\ (1984),
``A note to the remainder of a multivariate interpolation polynomial'',
{\it Approx.\ Theory Appl.\/} {\bf 1(1)}, 57--63.

Lai, Mingjun, and Xinghua Wang\ (1986),
``On multivariate Newtonian interpolation'',
{\it Sci.\ Sinica\ Ser.\ A\/} {\bf 29(1)}, 23--32.

Liang, X.\ (1986),
``Kergin-interpolation at the points which are zeros of the bivariate polynomial of least deviation from zero on the disk'',
{\it Northeastern Math.\ J.\/} {\bf 2}, 408-414.

Liang, X. Z.\ (1986),
``Kergin-interpolation at the points which are zeros of the bivariate polynomial of least deviation from zero on the disk (Chinese)'',
{\it Dongbei Shida Xueboa, (Ziran Kexue Ban), J. Northeast Normal U. of Natural Sciences, Changchun\/} {\bf 2}, 408--414.

Liang, Xue-Zhang, and Y. M. Ye\ (1986),
``On Kergin interpolation at the points which are zeros of the bivariate polynomial of least deviation from zero on the disk'',
{\it Northeastern Math.\ J.\/} {\bf 4}, 409--414.

Lorentz, R. A.\ (1992),
{\it Multivariate Birkhoff interpolation\/}, Springer-Verlag.

Maier, U.\ (1994),
``Approximation durch Kergin-Interpolation'',
dissertation, dissertation, Universit\"at Dortmund (Germany).

Maier, Ulrike\ (1994),
``Approximation durch Kergin-Interpolation'',
dissertation, Dr., Universit\"at Dortmund (Germany).

Micchelli, C. A.\ (1980),
``A constructive approach to Kergin interpolation in $\RR ^k$: multivariate B-splines and Lagrange interpolation'',
{\it Rocky Mountain J. Math.\/} {\bf 10}, 485--497.

Micchelli, C. A., and P. Milman\ (1980),
``A formula for Kergin interpolation in $\RR ^k$'',
{\it J. Approx.\ Theory\/} {\bf 29}, 294--296.

Wang, Xinghua\ (1978),
``The remainder of numerical differentiation formul{\ae }'',
{\it Hang Zhou Da Xue Xue Bao (in Chinese)\/} {\bf 4(1)}, 1--10.

Wang, Xinghua\ (1979),
``On remainders of numerical differentiation formulas'',
{\it Ke Xue Tong Bao (in Chinese)\/} {\bf 24(19)}, 869--872.

Yang, X.\ (1991),
``Une generalisation a plusieurs variables du theoreme de Muntz-Szasz'',
{\it C. R. Acad.\ Sci.\ Paris\/} {\bf 312}, 575--578.


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