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Interpolation for symmetric functions. (English) Zbl 0857.05092

This paper contains two main results. First the paper establishes an interpolation formula for a symmetric function in \(k\) variables which reduces to the classical Lagrange interpolation formula if \(k=1\). Second the authors provide a simple derivation of an identity of R. A. Gustafson and S. C. Milne [Adv. Math. 48, 177-188 (1983; Zbl 0516.33015)] on Schur symmetric functions.

MSC:

05E05 Symmetric functions and generalizations
41A05 Interpolation in approximation theory
65T50 Numerical methods for discrete and fast Fourier transforms

Citations:

Zbl 0516.33015
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