Discrete Fourier analysis with lattices on planar domains

@article{Li2010DiscreteFA,
  title={Discrete Fourier analysis with lattices on planar domains},
  author={Huiyuan Li and Jiachang Sun and Yuan Xu},
  journal={Numerical Algorithms},
  year={2010},
  volume={55},
  pages={279-300}
}
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 ${{\mathbb R}}^2$ and several new results on cubature and interpolation by trigonometric, as well as algebraic, polynomials are obtained. 
2 Extracted Citations
24 Extracted References
Similar Papers

Citing Papers

Publications influenced by this paper.

Referenced Papers

Publications referenced by this paper.
Showing 1-10 of 24 references

Commuting self-adjoint partial differential operators and a group theoretic problem, J

  • B. Fuglede
  • Funct. Anal. 16, 101–121
  • 1974
Highly Influential
3 Excerpts

Multivariate Fourier series over a class of non tensor-product partition domains

  • J. Sun
  • J. Comput. Math. 21, 53–62
  • 2003
1 Excerpt

Similar Papers

Loading similar papers…