Esplines
A Mathematica package is made available for the symbolic computation of exponential spline related quantities: Bsplines, Gram sequence, Green function, and localization filter.
Description:
To obtain the analytical expressions of cardinal exponential Bsplines and other related quantities, we recommend using the Mathematica software package Esplines that is provided below. The spline type in each routine is specified by two list variables: poles, and zeros (which is optional). For example, the cubic Bspline corresponds to the parameters: poles={0,0,0,0} and zeros={}.
The available functions are:
 BsplineE[t, poles, zeros]: Evaluates the generalized Bspline. 
 B[z, poles, zeros]: Returns the discrete Bspline filter. 
 A[z, poles, zeros]: Returns the ztransform of the Gram sequence of the Bsplines. 
 Localization[z, poles]: Returns the ztransform of the spline localization operator. 
 GreenE[t, poles, zeros]: Evaluates or returns the symbolic form of the Green function, which is obtained by inverse Laplace transformation. 
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