All Title Author
Keywords Abstract

Mathematics  2009 

Discrete Fourier analysis with lattices on planar domains

Full-Text   Cite this paper   Add to My Lib

Abstract:

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.

Full-Text

comments powered by Disqus