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Accepted version

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2012-10

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/34321

Beurling-Landau's density on compact manifolds

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http://dx.doi.org/10.1016/j.jfa.2012.07.004

Abstract

Given a compact Riemannian manifold $M$, we consider the subspace of $L^2(M)$ generated by the eigenfunctions of the Laplacian of eigenvalue less than $L\geq1$. This space behaves like a space of polynomials and we have an analogy with the Paley-Wiener spaces. We study the interpolating and Marcinkiewicz-Zygmund (M-Z) families and provide necessary conditions for sampling and interpolation in terms of the Beurling-Landau densities. As an application, we prove the equidistribution of the Fekete arrays on some compact manifolds.

Subject

Teoria espectral (Matemàtica), Anàlisi global (Matemàtica)

Subject (English)

Spectral theory (Mathematics), Global analysis (Mathematics)

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Articles publicats en revistes (Matemàtiques i Informàtica)

Citation

ORTEGA CERDÀ, Joaquim and PRIDHNANI, Bharti. Beurling-Landau's density on compact manifolds. Journal of Functional Analysis. 2012. Vol. 263, num. 7, pags. 2102-2140. ISSN 0022-1236. [consulted: 7 of August of 2026]. Available at: https://hdl.handle.net/2445/34321

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