Cardinal interpolation & difference equations
In this chapter, we consider cardinal interpolation, i.e., the interpolation to data on the integer mesh, from a space of cardinal splines. This problem is intimately connected to the solution of a multivariate difference equation, and the qualitative properties of the interpolation, its correctness or singularity, are determined by the symbol of the difference equation.
KeywordsDifference Equation Fundamental Solution Linear Independence Fundamental Function Poisson Summation Formula
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