Unsolvability of some problems on piecewise polynomial functions
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2023), pp. 8-15

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The algorithmic unsolvability is proved for some problems concerning piecewise polynomials of one variable with infinite number of nodes.
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S. B. Gashkov. Unsolvability of some problems on piecewise polynomial functions. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2023), pp. 8-15. http://geodesic.mathdoc.fr/item/VMUMM_2023_3_a1/