Abstract
The integral norm on the subspace of multivariate trigonometric polynomials with harmonics from the “hyperbolic cross” is equivalent to the interpolation norm taken on a finite set of points whose cardinality increases only slightly faster than the dimension of the subspace.
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Translated fromMatematicheskie Zametki, Vol. 66, No. 1, pp. 20–29, July, 1999.
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Belinskii, É.S. Interpolation and integral norms of hyperbolic polynomials. Math Notes 66, 16–23 (1999). https://doi.org/10.1007/BF02674066
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DOI: https://doi.org/10.1007/BF02674066