On Polyharmonic Interpolation
نویسندگان
چکیده
In the present paper we will introduce a new approach to multivariate interpolation by employing polyharmonic functions as interpolants, i.e. by solutions of higher order elliptic equations. We assume that the data arise from C∞ or analytic functions in the ball BR. We prove two main results on the interpolation of C∞ or analytic functions f in the ball BR by polyharmonic functions h of a given order of polyharmonicity p. MSC 2000 Classification: 41 A 05, secondary 31 B 30, 65 D 05
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