Bernstein-Nikolskii inequalities and Riesz interpolation formula on compact homogeneous manifolds

2014/03/18 by Pesenson, Isaac Z. · 1 citation
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1403.4561

Abstract

Bernstein-Nikolskii inequalities and Riesz interpolation formula are established for eigenfunctions of Laplace operators and polynomials on compact homogeneous manifolds.

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• Notes on Bernstein spaces, sampling, Boas interpolation formulas and their extensions to Banach spaces

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