Concerning the linear dependence of integer translates of exponential box splines

Translates of Exponential Box Splines and Their Related Spaces

Exponential box splines (SB-splines) are multivariate compactly supported functions on a regular mesh which are piecewise in a space St spanned by exponential polynomials. This space can be defined as the intersection of the kernels of certain partial differential operators with constant coefficients. The main part of this paper is devoted to algebraic analysis of the space H of all entire func...

On the Solution of Certain Systems of Partial Difference Equations and Linear Dependence of Translates of Box Splines

This paper is concerned with solving systems of partial difference equations which arise when studying linear dependence of translates of box splines.

Exponential box-like splines on nonuniform grids

We generalize the exponential box spline by allowing it to have arbitrarily spaced knots in any of its directions and derive the corresponding recurrence and differentiation rules. The corresponding spline space is spanned by the shifts of finitely many such splines and contains the usual family of exponential polynomials. The (local) linear independence of the spanning set is equivalent to a g...

Exponential box - like splines on nonuniform

on the effect of linear & non-linear texts on students comprehension and recalling

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