Centre for Mathematics, University of Coimbra

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Type:	Preprint
National /International:	International
Title:	Measures of localization and quantitative Nyquist densities
Publication Date:	2013-08-09
Authors:	- Luís Daniel Abreu - João Morais Pereira
Abstract:	We obtain quantitative versions of the Nyquist density, by estimating, in terms of \epsilon, the increase in the degrees of freedom resulting upon allowing the functions to contain a certain prescribed amount of energy \epsilon outside a region delimited by a set in time and a set in frequency. At the technical level, we study a pseudospectra version of the classical spectral problem of Landau-Slepian-Pollak. Analogue results are obtained for Gabor localization operators in a compact region of the time-frequency plane.
Institution:	DMUC 13-35
Online version:	http://www.mat.uc.pt...prints/eng_2013.html
Download:	Not available