Discrete Fourier analysis with lattices on planar domains. (arXiv:0910.5286v1 [math.NA])

A discrete Fourier analysis associated with translation lattices is developed
recently by the authors. It permits two lattices, one determining the integral
domain and the other determining the family of exponential functions. Possible
choices of lattices are discussed in the case of lattices that tile $RR^2$ and
several new results on cubature and interpolation by trigonometric, as well as
algebraic, polynomials are obtained.

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Original source : http://arxiv.org/abs/0910.5286...