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In this paper some results about regular multivariate generalized sampling in the Lp setting (1⩽p⩽∞) are proven. Thus, stable multivariate regular sampling formulas are derived for Lp shift-invariant spaces VΦp, i.e., the Lp-closure of the linear span of the shifts of a finite set Φ of generators. These sampling formulas include regular samples of the function, its derivatives and/or some filtered...
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