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Irregular Sampling of Generalized Harmonizable Processes 

Authors: A. G. Garciacutea a;  M. J. Muntildeoz-Bouzo b; A. Portal a
Affiliations:   a Departamento de Matemaacuteticas, Universidad Carlos III de Madrid, Leganeacutes-Madrid, Spain
b Departamento de Matemaacutetica Fundamentales, U.N.E.D, Madrid, Spain
DOI: 10.1081/SAP-200026468
Publication Frequency: 6 issues per year
Published in: journal Stochastic Analysis and Applications, Volume 22, Issue 5 January 2005 , pages 1327 - 1339
Formats available: HTML (English) : PDF (English)
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Abstract

In this note an irregular sampling expansion for bandlimited harmonizable processes is obtained by employing contour integral techniques in the vector-valued analytic functions setting. In so doing, we use the integral representation of a harmonizable process with respect to a vector measure.
Keywords: Harmonizable processes; Vector measures; Sampling formulas
AMS: 60G10; 46G10; 94A20
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