Please use this identifier to cite or link to this item:
http://hdl.handle.net/2445/34321
Title: | Beurling-Landau's density on compact manifolds |
Author: | Ortega Cerdà, Joaquim Pridhnani, Bharti |
Keywords: | Teoria espectral (Matemàtica) Anàlisi global (Matemàtica) Spectral theory (Mathematics) Global analysis (Mathematics) |
Issue Date: | Oct-2012 |
Publisher: | Elsevier |
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. |
Note: | Versió postprint del document publicat a: http://dx.doi.org/10.1016/j.jfa.2012.07.004 |
It is part of: | Journal of Functional Analysis, 2012, vol. 263, num. 7, p. 2102-2140 |
URI: | http://hdl.handle.net/2445/34321 |
Related resource: | http://dx.doi.org/10.1016/j.jfa.2012.07.004 |
ISSN: | 0022-1236 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
File | Description | Size | Format | |
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615518.pdf | 497.16 kB | Adobe PDF | View/Open |
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